Properties of the Number 48838

Forty-Eight Thousand Eight Hundred Thirty-Eight

Basics

Value: 48837 → 48838 → 48839

Parity: even

Prime: No

Previous Prime: 48823

Next Prime: 48847

Digit Sum: 31

Digital Root: 4

Palindrome: No

Factorization: 2 × 24419

Divisors: 1, 2, 24419, 48838

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1011111011000110

Octal: 137306

Duodecimal: 2431A

Hexadecimal: bec6

Square: 2385150244

Square Root: 220.99321256545414

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

Square array A(n,k) by antidiagonals. A(n,k) is the number of length 2n k-ary words (n,k>=0), either empty or beginning with the first character of the alphabet, that can be built by repeatedly inserting doublets into the initially empty word. A183134

Powers of cube root of 19 rounded down. A18030

Expansion of c(3·x²)/(1-x·c(3·x²)), c(x) the g.f. of A000108. A128386

Square array A(n,k), n >= 0, k >= 0, read by antidiagonals downwards, where column k is the expansion of B(x)^k, where B(x) is the g.f. of A384145. A384652

Number of quaternary words either empty or beginning with the first character of the alphabet, that can be built by inserting n doublets into the initially empty word. A194724

Number of n-ary words beginning with the first character of the alphabet, that can be built by inserting six doublets into the initially empty word. A194718

Number of nX7 0..2 arrays with no element equal to one plus the sum of elements to its left or one plus the sum of elements above it or one plus the sum of the elements diagonally to its northwest, modulo 3. A239360

Number of nX4 0..1 arrays with every element equal to 0, 1, 2, 4 or 6 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero. A300933

T(n,k)=Number of nXk 0..1 arrays with every element equal to 0, 1, 2, 4 or 6 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero. A300937

Decimal expansion of ∑_{n >= 2} (n³ / ∏_i=2..n K(i)), where K(i) is the Kempner function A002034. A48838