Properties of the Number 48528

Forty-Eight Thousand Five Hundred Twenty-Eight

Basics

Value: 48527 → 48528 → 48529

Parity: even

Prime: No

Previous Prime: 48527

Next Prime: 48533

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 2 ⁴ × 3 ² × 337

Divisors: 1, 2, 3, 4, 6, 8, 9, 12, 16, 18

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1011110110010000

Octal: 136620

Duodecimal: 24100

Hexadecimal: bd90

Square: 2354966784

Square Root: 220.29071700822982

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

Express 1 - x - x² - x³ - x⁴ - ... as product (1 + g(1)*x) * (1 + g(2)*x²) *(1 + g(3)*x³) * ... and use a(n) = - g(n). A220418

G.f.: ∑_k>=1 x^2·k/(1+x^2·k) * ∏_k>=1 1/(1-x^k). A305121

a(n) is the minimum positive integer k such that the concatenation of k, a(n-1), a(n-2), ..., a(2), and a(1) is the lesser of a pair of twin primes (i.e., a term of A001359), with a(1) = 11. A350246

Number of compositions of n into parts with distinct multiplicities and with exactly nine parts. A321779

Primes expressible in two ways as the sum of an integer and its digit sum. A48528

Number of nX5 0..1 arrays with every element equal to 3, 4, 5, 7 or 8 king-move adjacent elements, with upper left element zero. A298954