Properties of the Number 48636

Forty-Eight Thousand Six Hundred Thirty-Six

Basics

Value: 48635 → 48636 → 48637

Parity: even

Prime: No

Previous Prime: 48623

Next Prime: 48647

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 2 ² × 3 ² × 7 × 193

Divisors: 1, 2, 3, 4, 6, 7, 9, 12, 14, 18

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1011110111111100

Octal: 136774

Duodecimal: 24190

Hexadecimal: bdfc

Square: 2365460496

Square Root: 220.53571139386926

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 2n-bead balanced binary strings, rotationally equivalent to reversed complement. A45655

Least k such that the first k terms of A006928 contain n more 2's than 1's. A25507

Number of permutations p of 1,2,...,n such that the denominator of the continued fraction [p(1); p(2),...,p(n)] is prime. A78432

Indices in A006928 where the imbalance between 1's and 2's sets a new record. A274775

Number of (w,x,y) with all terms in {0,...,n} and |w-x| ≠ |x-y|. A212960

Number of binary strings of length n having a cyclic shift that is a palindrome. A245582

Numbers whose distance to the nearest cube equals the distance to the nearest product of 3 consecutive integers (three-dimensional oblong). A342873

Terms of A319928 that are congruent to 4 modulo 8: Numbers k == 4 (mod 8) such that there is no other m such that (Z/mZ)* is isomorphic to (Z/kZ)*, where (Z/kZ)* is the multiplicative group of integers modulo k. A372755

Fourier coefficients of the modular form (1/t_6a) * (1-12·sqrt(-3)/t_6a)^7/6 * F_6a¹⁰. A341565

Expansion of e.g.f. ∏_k>=1 (1 + x^k/k!)^k-1. A371480