38629 (number)
38,629 (thirtyeight thousand six hundred twentynine) is an odd fivedigits prime number following 38628 and preceding 38630. In scientific notation, it is written as 3.8629 × 10^{4}. The sum of its digits is 28. It has a total of 1 prime factor and 2 positive divisors. There are 38,628 positive integers (up to 38629) that are relatively prime to 38629.
Basic properties
 Is Prime? Yes
 Number parity Odd
 Number length 5
 Sum of Digits 28
 Digital Root 1
Name
Short name  38 thousand 629 

Full name  thirtyeight thousand six hundred twentynine 
Notation
Scientific notation  3.8629 × 10^{4} 

Engineering notation  38.629 × 10^{3} 
Prime Factorization of 38629
Prime Factorization 38629
Prime numberω(n)  Distinct Factors  1  Total number of distinct prime factors 

Ω(n)  Total Factors  1  Total number of prime factors 
rad(n)  Radical  38629  Product of the distinct prime numbers 
λ(n)  Liouville Lambda  1  Returns the parity of Ω(n), such that λ(n) = (1)^{Ω(n)} 
μ(n)  Mobius Mu  1  Returns:

Λ(n)  Mangoldt function  10.561758568709  Returns log(p) if n is a power p^{k} of any prime p (for any k >= 1), else returns 0 
The prime factorization of 38,629 is 38629. Since it has a total of 1 prime factor, 38,629 is a prime number.
Divisors of 38629
2 divisors
τ(n)  Total Divisors  2  Total number of the positive divisors of n 

σ(n)  Sum of Divisors  38630  Sum of all the positive divisors of n 
s(n)  Aliquot Sum  1  Sum of the proper positive divisors of n 
A(n)  Arithmetic Mean  19315  Returns the sum of divisors (σ(n)) divided by the total number of divisors (τ(n)) 
G(n)  Geometric Mean  196.54261624391  Returns the nth root of the product of n divisors 
H(n)  Harmonic Mean  1.9999482267668  Returns the total number of divisors (τ(n)) divided by the sum of the reciprocal of each divisors 
The number 38,629 can be divided by 2 positive divisors (out of which 0 are even, and 2 are odd). The sum of these divisors (counting 38,629) is 38,630, the average is 19,315.
Other Arithmetic Functions (n = 38629)
φ(n)  Euler Totient  38628  Total number of positive integers not greater than n that are coprime to n 

λ(n)  Carmichael Lambda  38628  Smallest positive number such that a^{λ(n)} ≡ 1 (mod n) for all a coprime to n 
π(n)  Prime Pi  ≈ 4072  Total number of primes less than or equal to n 
r_{2}(n)  Sum of 2 squares  8  The number of ways n can be represented as the sum of 2 squares 
There are 38,628 positive integers (less than 38,629) that are coprime with 38,629. And there are approximately 4,072 prime numbers less than or equal to 38,629.
Divisibility of 38629
m  2  3  4  5  6  7  8  9 

n mod m  1  1  1  4  1  3  5  1 
38,629 is not divisible by any number less than or equal to 9.
Classification of 38629
By Arithmetic functions
 Arithmetic
 Prime
 Deficient
Expressible via specific sums
 Polite
By Powers
 Prime Power
 Square Free
Base conversion (38629)
Base  System  Value 

2  Binary  1001011011100101 
3  Ternary  1221222201 
4  Quaternary  21123211 
5  Quinary  2214004 
6  Senary  454501 
8  Octal  113345 
10  Decimal  38629 
12  Duodecimal  1a431 
16  Hexadecimal  96e5 
20  Vigesimal  4gb9 
36  Base36  tt1 
Basic calculations (n = 38629)
Multiplication
n×yn×2  77258 

n×3  115887 
n×4  154516 
n×5  193145 
Division
n÷yn÷2  19314.500 

n÷3  12876.333 
n÷4  9657.250 
n÷5  7725.800 
Exponentiation
n^{y}n^{2}  1492199641 

n^{3}  57642179932189 
n^{4}  2226659768600528881 
n^{5}  86013640201269830144149 
Nth Root
^{y}√n^{2}√n  196.54261624391 

^{3}√n  33.804238349035 
^{4}√n  14.019365757548 
^{5}√n  8.2676616135776 
38629 as geometric shapes
Circle
Radius = nDiameter  77258 

Circumference  242713.16523104 
Area  4687883429.8549 
Sphere
Radius = nVolume  2.4145099868249E+14 

Surface area  18751533719.42 
Circumference  242713.16523104 
Square
Length = nPerimeter  154516 

Area  1492199641 
Diagonal  54629.65570091 
Cube
Length = nSurface area  8953197846 

Volume  57642179932189 
Space diagonal  66907.390645578 
Equilateral Triangle
Length = nPerimeter  115887 

Area  646141398.31201 
Altitude  33453.695322789 
Triangular Pyramid
Length = nSurface area  2584565593.248 

Volume  6793196052071 
Height  31540.446424657 
Cryptographic Hash Functions
md5  0de308304dd71fff33f9cd7275712223 

sha1  6fba961dc390b6343c2402132b677b9cba4096e9 
sha256  9d8529466d22da3fce9f306982a85131b27fed5b60aabdeb5808463b2f900e89 
sha512  f770b91d6b2f51dad736ccbbdbc1be6482ba04dc2f65ce807d4a2cd33deaecb862912e74845a534be78f41edb71764e585b4f77dcce8fa161a4e95cb867d197a 
ripemd160  a6c97077867fc7e9c4830a60cefb240c54abf0aa 