Properties of the Number 49481

Forty-Nine Thousand Four Hundred Eighty-One

Basics

Value: 49480 → 49481 → 49482

Parity: odd

Prime: Yes

Previous Prime: 49477

Next Prime: 49499

Digit Sum: 26

Digital Root: 8

Palindrome: No

Factorization: 49481

Divisors: 1, 49481

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2730 Try Today's Challenge

Representations

Binary: 1100000101001001

Octal: 140511

Duodecimal: 24775

Hexadecimal: c149

Square: 2448369361

Square Root: 222.44325119005072

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

T(n,k) is the number of n X k (0,1,2) arrays of permanents of 2 X 2 subblocks of some (n+1) X (k+1) binary array. A226852

T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with no 2X2 subblock having the sum of its diagonal elements greater than the maximum of its antidiagonal elements. A251028

Row sums of A293472. A293297

Number of nX3 (0,1,2) arrays of permanents of 2X2 subblocks of some (n+1)X4 binary array. A226847

Number of nX4 (0,1,2) arrays of permanents of 2X2 subblocks of some (n+1)X5 binary array. A226848

Number of (n+1) X (1+1) 0..3 arrays with no 2 X 2 subblock having the sum of its diagonal elements greater than the maximum of its antidiagonal elements. A251021

Number of (n+1)X(6+1) 0..3 arrays with no 2X2 subblock having the sum of its diagonal elements greater than the maximum of its antidiagonal elements. A251026

n is prime and is the concatenation of numbers n₁, n₂, n₃, in that order, with n₁ - n₂ = n₃. (Do not allow leading zeros for nonzero n_i.) A67861

Primes p such that p + 30 is also prime. A49481