Properties of the Number 48756

Forty-Eight Thousand Seven Hundred Fifty-Six

Basics

Value: 48755 → 48756 → 48757

Parity: even

Prime: No

Previous Prime: 48751

Next Prime: 48757

Digit Sum: 30

Digital Root: 3

Palindrome: No

Factorization: 2 ² × 3 × 17 × 239

Divisors: 1, 2, 3, 4, 6, 12, 17, 34, 51, 68

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1011111001110100

Octal: 137164

Duodecimal: 24270

Hexadecimal: be74

Square: 2377147536

Square Root: 220.8076085645601

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) = A053141(n)/2. A53142

Number of ways to place 2 nonattacking bishops on an n X n board. A172123

Number of permutations of [n] containing exactly 2 increasing subsequences of length 3. A1089

a(n) appears in the congruences modulo 4 or 32 of Markoff numbers m(n) = A002559(n) for odd or even m(n). A309376

Expansion of ∑_k>0 x^4·k/(1-x^k)⁵. A363608

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

Triangle T(n,k) read by rows: T(n,k) = number of permutations on 123...n with exactly two abc patterns and no aj pattern with j<=k, for n>=0, 0<=k<=n. A229158

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

Numerator of ∑_i=1..n nⁱ/i. A237872

Number of ways, counted up to symmetry, to build a contiguous building with n LEGO blocks of size 3 X 3 which is symmetric after a rotation by 180 degrees. A123833