Properties of the Number 49748

Forty-Nine Thousand Seven Hundred Forty-Eight

Basics

Value: 49747 → 49748 → 49749

Parity: even

Prime: No

Previous Prime: 49747

Next Prime: 49757

Digit Sum: 32

Digital Root: 5

Palindrome: No

Factorization: 2 ² × 12437

Divisors: 1, 2, 4, 12437, 24874, 49748

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1100001001010100

Octal: 141124

Duodecimal: 24958

Hexadecimal: c254

Square: 2474863504

Square Root: 223.0425968284982

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 place 3 nonattacking zebras on a 3 X n board. A172221

Number of set partitions of [n] with alternating parity of elements and exactly three blocks. A305777

Number of permutations in S_n containing exactly 2 increasing subsequences of length 4. A224249

Irregular table read by rows: T(n,k) is the number of permutations in S_n that have exactly k occurrences of the pattern 1234. 0 <= k <= A000332(n). A342865

a(n) = ∑_i=0..n T(i,n-i), array T as in A049747. A49748