Properties of the Number 51272

Fifty-One Thousand Two Hundred Seventy-Two

Basics

Value: 51271 → 51272 → 51273

Parity: even

Prime: No

Previous Prime: 51263

Next Prime: 51283

Digit Sum: 17

Digital Root: 8

Palindrome: No

Factorization: 2 ³ × 13 × 17 × 29

Divisors: 1, 2, 4, 8, 13, 17, 26, 29, 34, 52

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1100100001001000

Octal: 144110

Duodecimal: 25808

Hexadecimal: c848

Square: 2628817984

Square Root: 226.43321311150447

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) = binomial(n+6,6)*(2n+7)/7. A50486

Structured hexagonal diamond numbers (vertex structure 5). A100178

For every positive integer m, let u(m) = (d(1),d(2),...,d(k)) be the unitary divisors of m. The sequence (a(n)) consists of successive numbers m which d(k)/d(1) + d(k-1)/d(2) + ... + d(k)/d(1) is an integer. A229996

Number of partitions of n which contain their signature as a subpartition. A118052

Antidiagonal sums of the convolution array A213828. A213830

Convolution square of A058187, the tetrahedral series with repeats. A178440

G.f. A(x) satisfies: 1-x = ∑_n>=0 (A(x) + (-x)ⁿ)ⁿ * (-x)ⁿ. A247332

Number of partitions of n³ into distinct cubes > 1. A298848

Even numbers to the right of the central numbers of the (1,2)-Pascal triangle A029635. A29643

Even numbers to the left of the central elements of the (2,1)-Pascal triangle A029653. A29665