Properties of the Number 51600

Fifty-One Thousand Six Hundred

Basics

Value: 51599 → 51600 → 51601

Parity: even

Prime: No

Previous Prime: 51599

Next Prime: 51607

Digit Sum: 12

Digital Root: 3

Palindrome: No

Factorization: 2 ⁴ × 3 × 5 ² × 43

Divisors: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1100100110010000

Octal: 144620

Duodecimal: 25A40

Hexadecimal: c990

Square: 2662560000

Square Root: 227.15633383201094

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

Triangle L, read by rows, equal to the matrix log of triangle A173210. A173220

Column 1 of triangle A173220. A173222

Number of nonempty subsets of {1,2,...,n} in which exactly 2/5 of the elements are <= n/2. A47166

Number of nonempty subsets of {1,2,...,n} in which exactly 3/5 of the elements are <= n/2. A47167

a(n) is the least number k such that the equation φ(x) = k has exactly n solutions and the arithmetic mean of these solutions is an integer, or -1 if no such number exists. A389860

Triangle read by rows: T(n,k) = count of increasing runs in two concatenated k-permutations of [n]. A122823

Rows of triangle formed using Pascal's rule except begin n-th row with (n+1)st prime and end it with (n+2)nd prime. A51600