Properties of the Number 36628

Thirty-Six Thousand Six Hundred Twenty-Eight

Basics

Value: 36627 → 36628 → 36629

Parity: even

Prime: No

Previous Prime: 36607

Next Prime: 36629

Digit Sum: 25

Digital Root: 7

Palindrome: No

Factorization: 2 ² × 9157

Divisors: 1, 2, 4, 9157, 18314, 36628

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1000111100010100

Octal: 107424

Duodecimal: 19244

Hexadecimal: 8f14

Square: 1341610384

Square Root: 191.38442987871298

Classification

Fibonacci: No

Bell Number: No

Factorial Number: No

Regular Number: No

Perfect Number: No

Special

Kaprekar Constant: No

Munchausen Constant: No

Armstrong Number: No

Kaprekar Number: No

Catalan Number: No

Vampire Number: No

Taxicab Number: No

Super Prime: No

Friedman Number: No

Fermat Number: No

Cullen Number: No

OEIS Sequences

A(n,k) is the sum of k-th powers of coefficients in full expansion of (z₁+z₂+...+z_n)ⁿ; square array A(n,k), n>=0, k>=0, read by antidiagonals. A245397

Square array A(n,k) = (n!)³ [xⁿ] hypergeom([], [1, 1], z)^k read by antidiagonals. A287698

Number of matchings in Moebius ladder M_n. A20877

Sum of third powers of coefficients in full expansion of (z1+z2+...+zn)ⁿ. A55733

G.f.: 2·x*(2-2·x-3·x²+2·x³)/((1-3·x-x²+x³)*(1-x)). A61703

a(n) = (n!)³ * [xⁿ] hypergeom([], [1, 1], x)⁴. A287699

a(n) = (4!)³ * [z⁴] hypergeom([], [1,1], z)ⁿ. A287700

Numbers k such that both k and k+1 are sums of two positive cubes. A85323

Primes containing the digit string "007" in their decimal representation. A386240

Number of 4-ary rooted trees with n nodes and height exactly 4. A36628