Properties of the Number 48080

Forty-Eight Thousand Eighty

Basics

Value: 48079 → 48080 → 48081

Parity: even

Prime: No

Previous Prime: 48079

Next Prime: 48091

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 2 ⁴ × 5 × 601

Divisors: 1, 2, 4, 5, 8, 10, 16, 20, 40, 80

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1011101111010000

Octal: 135720

Duodecimal: 239A8

Hexadecimal: bbd0

Square: 2311686400

Square Root: 219.27152117865194

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 integer partitions of n of which every permutation has a consecutive monotone triple, i.e., a triple (..., x, y, z, ...) such that either x <= y <= z or x >= y >= z. A344654

Number of integer partitions of n without an alternating permutation. A345165

G.f.: ∏_k>=1 (1+x^k)^3·k+1. A255836

Number of rectangular plane partitions of n with strictly decreasing rows and columns. A323430

a(n) = ∑_k=1..n k² * floor(n/k)². A350123

Row sums of triangle A202917. A203269

Indices of primes in sequence defined by A(0) = 71, A(n) = 10·A(n-1) + 81 for n > 0. A101154

Number of nonempty subsets of {1,2,...,n} in which exactly 1/6 of the elements are <= (n+2)/3. A48080