Properties of the Number 48576

Forty-Eight Thousand Five Hundred Seventy-Six

Basics

Value: 48575 → 48576 → 48577

Parity: even

Prime: No

Previous Prime: 48571

Next Prime: 48589

Digit Sum: 30

Digital Root: 3

Palindrome: No

Factorization: 2 ⁶ × 3 × 11 × 23

Divisors: 1, 2, 3, 4, 6, 8, 11, 12, 16, 22

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1011110111000000

Octal: 136700

Duodecimal: 24140

Hexadecimal: bdc0

Square: 2359627776

Square Root: 220.39963702329456

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

a(n) = a(n-1) + 5·a(n-2), with a(0) = a(1) = 1. A15440

a(n) = n*(n+1)*(n+2)²/6. A4320

Expansion of Jacobi θ constant (theta₂/2)²⁴. A14809

Sum of terms of n-th group in A075383. A75386

Triangle T(m,k) read by rows, where T(m,k) is the number of ways in which 1<=k<=m positions can be picked in an m X m square grid such that the picked positions have a line symmetry but no point symmetry. A292156

Expansion of q * (ψ(q⁵) / ψ(q))² in powers of q where ψ() is a Ramanujan θ function. A138519

Expansion of q * (ψ(-q⁵) / ψ(-q))² in powers of q where ψ() is a Ramanujan θ function. A210458

Numbers n such that σ(n+σ(n)) = 5*σ(n). A246912

Numbers with prime factorization pqrs⁶. A190292

a(n) is the number of subsets of {1..n} that contain exactly 1 odd and 3 even numbers. A330299