Properties of the Number 48624

Forty-Eight Thousand Six Hundred Twenty-Four

Basics

Value: 48623 → 48624 → 48625

Parity: even

Prime: No

Previous Prime: 48623

Next Prime: 48647

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 2 ⁴ × 3 × 1013

Divisors: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1011110111110000

Octal: 136760

Duodecimal: 24180

Hexadecimal: bdf0

Square: 2364293376

Square Root: 220.50850323740352

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

Riordan array (1/(1+4x+x²), x/(1+4x+x²)). A159764

Triangle of coefficients of Chebyshev's S(n,x+4) polynomials (exponents of·in increasing order). A207823

Expansion of g.f. A(x) satisfying A(x) = A( x²*(1+x)⁵ ) / (x*(1+x)⁴). A369548

Triangle T(n,k) with the coefficient [x^k] of the characteristic polynomial of the following n X n triangular matrix: 4 on the main diagonal, -1 of the two adjacent subdiagonals, 0 otherwise. A124029

Positive numbers k such that (sin k)^k sets a new record. A383540

Triangle A124029 with the (0,0) entry replaced by 4. A123966

Triangle read by rows: T(n,k) is the number of words over alphabet {0,1,2,3} having exactly k occurrences of the string 01, where n>=0 and k>=0. A261711

Essentially a duplicate of A000129. A48624

Irregular triangle by rows derived from variants of Cartan matrices: 1's in the super and subdiagonals and 3,4,4,4,... in the main diagonal alternating with 4,4,4,... A180062

Number of ways to write n=x+y (x,y>=0) with {6x-1,6x+1} a twin prime pair and y a triangular number. A187785