Properties of the Number 63152

Sixty-Three Thousand One Hundred Fifty-Two

Basics

Value: 63151 → 63152 → 63153

Parity: even

Prime: No

Previous Prime: 63149

Next Prime: 63179

Digit Sum: 17

Digital Root: 8

Palindrome: No

Factorization: 2 ⁴ × 3947

Divisors: 1, 2, 4, 8, 16, 3947, 7894, 15788, 31576, 63152

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1111011010110000

Octal: 173260

Duodecimal: 30668

Hexadecimal: f6b0

Square: 3988175104

Square Root: 251.30061679192116

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

Numbers that are the sum of 12 positive 10th powers. A4812

a(n) = n·Pell(n) * ∑_d∣n 1/(d·Pell(d)) where Pell(n) = A000129(n). A203414

Total sum of the 10th powers of lengths of ascending runs in all permutations of [n]. A229000

Numbers k such that 5^k - 4^k - 3^k - 2^k - 1 is prime. A240503

Number of arborescent partitions with exactly n parts. A383894

G.f.: exp( ∑_n>=1 A203414(n)*xⁿ/n ) where A203414(n) = n·Pell(n)*∑_d∣n 1/(d·Pell(d)). A203413

Dimension of the space of weight 2n cusp forms for Gamma₀( 84 ). A63152