Properties of the Number 51939

Fifty-One Thousand Nine Hundred Thirty-Nine

Basics

Value: 51938 → 51939 → 51940

Parity: odd

Prime: No

Previous Prime: 51929

Next Prime: 51941

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 29 × 199

Divisors: 1, 3, 9, 29, 87, 199, 261, 597, 1791, 5771

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1100101011100011

Octal: 145343

Duodecimal: 26083

Hexadecimal: cae3

Square: 2697659721

Square Root: 227.9012944237044

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

T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with no 3x3 subblock diagonal sum 1 and no antidiagonal sum 2 and no row sum 0 and no column sum 0. A255091

Numbers that are the sum of five fourth powers in exactly four ways. A344355

Numbers that are the sum of five fourth powers in four or more ways. A344354

Number of partitions p of n such that median(p) > multiplicity(min(p)). A240215

Numerator of h(n+6) - h(n), where h(n) = ∑_k=1..n 1/k. A192359

Numbers k such that k+x+y is a perfect cube, where·and y are the two cubes nearest to k. A238599

Number of (n+2)X(1+2) 0..1 arrays with no 3x3 subblock diagonal sum 1 and no antidiagonal sum 2 and no row sum 0 and no column sum 0. A255084

a(n) is the number of sets of distinct four-cuboid combinations that fill an n X n X n cube excluding combinations that contain cube-shaped cuboids. A386756

Number of connected, unlabeled, unrooted 3-leaf power graphs on n vertices. A277863

Truncated triangular pyramid numbers: a(n) = (n-5)*(n² + 8·n - 66)/6. A51939