Properties of the Number 51624

Fifty-One Thousand Six Hundred Twenty-Four

Basics

Value: 51623 → 51624 → 51625

Parity: even

Prime: No

Previous Prime: 51613

Next Prime: 51631

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 2 ³ × 3 ³ × 239

Divisors: 1, 2, 3, 4, 6, 8, 9, 12, 18, 24

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: Yes

Tetrahedral: No

Today's Target

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Representations

Binary: 1100100110101000

Octal: 144650

Duodecimal: 25A60

Hexadecimal: c9a8

Square: 2665037376

Square Root: 227.20915474513785

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

Expansion of 1/∏_m>=1 (1 - m·q^m)²⁷. A22751

a(n) = (n + 1)²*(5·n² + 10·n + 2)/2. A269237

Numbers k such that k and k+1 have the same sum of squarefree divisors, or sqf(k) = sqf(k+1), where sqf(k) = A048250(k). A63964

3-apexes of ω: numbers k such that ω(k-3) < ω(k-2)< ω(k-1) < ω(k) > ω(k+1) > ω(k+2) > ω(k+3), where ω(m) = the number of prime factors of m, counting multiplicity. A76760

Heptagonal numbers for which the sum of the digits is also a heptagonal number. A117650

a(n) = ∑_k=0..n F(k+1)²*F(n-k+1)² where F = Fibonacci numbers (A000045). A136429

Numbers k such that k and k+1 have the same average of unitary divisors. A349222

12-gonal (or dodecagonal) numbers: a(n) = n*(5·n-4). A51624