Properties of the Number 48741

Forty-Eight Thousand Seven Hundred Forty-One

Basics

Value: 48740 → 48741 → 48742

Parity: odd

Prime: No

Previous Prime: 48733

Next Prime: 48751

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 3 × 7 × 11 × 211

Divisors: 1, 3, 7, 11, 21, 33, 77, 211, 231, 633

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1011111001100101

Octal: 137145

Duodecimal: 24259

Hexadecimal: be65

Square: 2375685081

Square Root: 220.77363973083382

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) = (n⁴ + n² + 2·n)/4. A6528

Number of integer partitions of n such that the maximum is greater than or equal to twice the median. A361859

Triangle read by rows: T(n,k) is the number of involutions of {1,2,...,n} having genus k (see first comment for definition of genus). A178515

G.f.: ∑_k>=1 (k⁴ * x^k² / ∏_j=1..k (1 - x^j)). A333152

Numbers n such that μ(n) + μ(n+1) + μ(n+2) + μ(n+3) + μ(n+4) + μ(n+5) + μ(n+6) = 6. A82967

Product of aliquot divisors of composite n (1 and primes omitted). A48741