Properties of the Number 49312

Forty-Nine Thousand Three Hundred Twelve

Basics

Value: 49311 → 49312 → 49313

Parity: even

Prime: No

Previous Prime: 49307

Next Prime: 49331

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 2 ⁵ × 23 × 67

Divisors: 1, 2, 4, 8, 16, 23, 32, 46, 67, 92

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 1100000010100000

Octal: 140240

Duodecimal: 24654

Hexadecimal: c0a0

Square: 2431673344

Square Root: 222.06305410851215

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+2,2) with T as in A036355. A36681

a(n) = 14·a(n-1) - 44·a(n-2) for n > 1; a(0) = 1, a(1) = 8. A163307

Number of (n+1)X(n+1) 0..1 arrays with column and row pair sums b(i,j)=a(i,j)+a(i,j-1) and c(i,j)=a(i,j)+a(i-1,j) nondecreasing in column and row directions, respectively. A204643

Jenga numbers: number of partitions of hypercube (Z_n)⁴ into 1-dimensional layers. A280044

Number of graphs with a distinguished bipartite block, by number of vertices. A49312

T(n,k)=Number of (n+1)X(k+1) 0..1 arrays with column and row pair sums b(i,j)=a(i,j)+a(i,j-1) and c(i,j)=a(i,j)+a(i-1,j) nondecreasing in column and row directions, respectively. A204651

Square array A(n, k) = A329644(prime(n)^k), read by falling antidiagonals: (1,1), (1,2), (2,1), (1,3), (2,2), (3,1), ... A329637