Properties of the Number 51950

Fifty-One Thousand Nine Hundred Fifty

Basics

Value: 51949 → 51950 → 51951

Parity: even

Prime: No

Previous Prime: 51949

Next Prime: 51971

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 2 × 5 ² × 1039

Divisors: 1, 2, 5, 10, 25, 50, 1039, 2078, 5195, 10390

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1100101011101110

Octal: 145356

Duodecimal: 26092

Hexadecimal: caee

Square: 2698802500

Square Root: 227.92542640082962

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

Number of non-knapsack integer partitions of n. A366754

T(n,k) is the number of (n+1) X (k+1) 0..3 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 2 (constant-stress 1 X 1 tilings). A234490

G.f.: A(x) = F(x·G(x)³) = F(G(x)-1) where F(x) = G(x/F(x)) = 1 + x·F(x)² is the g.f. of A000108 (Catalan) and G(x) = F(x·G(x)) = 1 + x·G(x)³ is the g.f. of A001764. A153296

Number of (n+1) X (2+1) 0..3 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 2 (constant-stress 1 X 1 tilings). A234484

Number of (n+1) X (5+1) 0..3 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 2 (constant-stress 1 X 1 tilings). A234487

Multiplicity of highest weight (or singular) vectors associated with character chi₇₆ of Monster module. A34464

Number of partitions of n into parts not of the form 21k, 21k+9 or 21k-9. Also number of partitions with at most 8 parts of size 1 and differences between parts at distance 9 are greater than 1. A35987

Differences between values of τ(n) (A000005): a(n) = τ(n)-τ(n-1). A51950