Properties of the Number 48680

Forty-Eight Thousand Six Hundred Eighty

Basics

Value: 48679 → 48680 → 48681

Parity: even

Prime: No

Previous Prime: 48679

Next Prime: 48731

Digit Sum: 26

Digital Root: 8

Palindrome: No

Factorization: 2 ³ × 5 × 1217

Divisors: 1, 2, 4, 5, 8, 10, 20, 40, 1217, 2434

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1011111000101000

Octal: 137050

Duodecimal: 24208

Hexadecimal: be28

Square: 2369742400

Square Root: 220.6354459283458

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 maximal subsets of {1..n} such that it is possible to choose a different prime factor of each element. A370585

T(n,k)=Number of nXk 0..4 arrays with no element equal to another within two positions in the same row or column, and new values 0..4 introduced in row major order. A206359

Coefficients of replicable function number 12b. A58490

Number of partitions of n into 7 or more parts. A347543

Expansion of (χ(q³) / χ(q))⁶ + q / (χ(q³) / χ(q))⁶ in powers of q where χ() is a Ramanujan θ function. A156215

Number of n X 2 0..4 arrays with no element equal to another within two positions in the same row or column, and new values 0..4 introduced in row major order. A206353

Number of nX7 0..4 arrays with no element equal to another within two positions in the same row or column, and new values 0..4 introduced in row major order. A206358

Nonnegative integers A001477 expanded with rewrite 0->0, 01->1, then interpreted as Zeckendorffian expansions (as numbers of Fibonacci number system). A48680