Properties of the Number 51378

Fifty-One Thousand Three Hundred Seventy-Eight

Basics

Value: 51377 → 51378 → 51379

Parity: even

Prime: No

Previous Prime: 51361

Next Prime: 51383

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 2 × 3 × 8563

Divisors: 1, 2, 3, 6, 8563, 17126, 25689, 51378

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1100100010110010

Octal: 144262

Duodecimal: 25896

Hexadecimal: c8b2

Square: 2639698884

Square Root: 226.66715686221505

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

The maximal number of different domino tilings allowed by the Ferrers-Young diagram of a single partition of 2n. A304790

Expansion of ∏_k>=1 1/(1 - φ(k)*x^k), where φ = Euler totient function (A000010). A319111

Sum of (1+e)-divisors of n. Let n = Product_i p(i)^r(i) then (1+e)-σ(n) = Product_i (1 + ∑_s∣r(i) p(i)^s). A51378

Irregular triangle T(n,k) (n >= 0, k >= 2) read by rows. Consider the planar graph formed from an equilateral triangle with n equally spaced points placed on each edge, as discussed in A092867(n+1). Then T(n,k) is the number of interior points where exactly k chords cross. A366479