Properties of the Number 48176

Forty-Eight Thousand One Hundred Seventy-Six

Basics

Value: 48175 → 48176 → 48177

Parity: even

Prime: No

Previous Prime: 48163

Next Prime: 48179

Digit Sum: 26

Digital Root: 8

Palindrome: No

Factorization: 2 ⁴ × 3011

Divisors: 1, 2, 4, 8, 16, 3011, 6022, 12044, 24088, 48176

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1011110000110000

Octal: 136060

Duodecimal: 23A68

Hexadecimal: bc30

Square: 2320926976

Square Root: 219.49031869310318

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 2 X 2 matrices having all elements in {0,1,...,n} and determinant in the open interval (-n,n). A211032

Number of right triangles on a (n+1)X8 grid. A189812

Number of (n+2) X (1+2) 0..1 arrays with no 3·3 subblock diagonal sum 0 or 1 and no antidiagonal sum 0 or 1 and no row sum 1 and no column sum 1. A256022

Multiplicity of highest weight (or singular) vectors associated with character chi₁₇₈ of Monster module. A34566

Number of ways to place zero or more nonadjacent 1,0 1,1 2,0 3,1 3,2 polyhexes in any orientation on a planar nXnXn triangular grid. A155243

Triangle read by rows: T(n, m) = S1(n, m)*10^n-m, where S1 are the signed Stirling numbers of first kind A008275 (n >= 1, 1 <= m <= n). A48176

T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with no 3x3 subblock diagonal sum 0 or 1 and no antidiagonal sum 0 or 1 and no row sum 1 and no column sum 1. A256029