Properties of the Number 48438

Forty-Eight Thousand Four Hundred Thirty-Eight

Basics

Value: 48437 → 48438 → 48439

Parity: even

Prime: No

Previous Prime: 48437

Next Prime: 48449

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 2 × 3 ⁴ × 13 × 23

Divisors: 1, 2, 3, 6, 9, 13, 18, 23, 26, 27

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 1011110100110110

Octal: 136466

Duodecimal: 24046

Hexadecimal: bd36

Square: 2346239844

Square Root: 220.08634669147472

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 ways to remove n oranges from an infinite stack of oranges whose m-th layer is an m X (m+1) rectangle. A274594

Expansion of g.f. A(x) satisfying A( x*(1 + 2·x)*A(x) )³ = A( x*(1 + 3·x)*A(x)² )². A370537

Expansion of (1/x) * Series_Reversion( x*(1+x-x³)/(1+x)³ ). A366096

a(1)=a(2)=1. a(n+1) = a(n) + a(largest prime dividing n). A128215

Number of solutions to x³ + y³ + z³ + t³ == 1 (mod n) for 1 <= x, y, z, t <= n. A276919

Number of ways to place a non-attacking black king and white king on an n X n board, up to rotation and reflection. A357723

Number of permutations satisfying -k<=p(i)-i<=r and p(i)-i not in I, i=1..n, with k=3, r=3, I={0,2}. A79993

E.g.f. satisfies A(x) = (1 + x * (exp(x·A(x)) - 1))³. A377689

Fourier coefficients of the modular form (1/t_6a³) * (1-6·sqrt(-3)/t_6a) * (1-12·sqrt(-3)/t_6a)^2/3 * F_6a¹⁶. A341572

Take the first n numbers written in base 6, concatenate them, then convert from base 6 to base 10. A48438