Properties of the Number 49040

Forty-Nine Thousand Forty

Basics

Value: 49039 → 49040 → 49041

Parity: even

Prime: No

Previous Prime: 49037

Next Prime: 49043

Digit Sum: 17

Digital Root: 8

Palindrome: No

Factorization: 2 ⁴ × 5 × 613

Divisors: 1, 2, 4, 5, 8, 10, 16, 20, 40, 80

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1011111110010000

Octal: 137620

Duodecimal: 24468

Hexadecimal: bf90

Square: 2404921600

Square Root: 221.44976857066254

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)=Number of (n+2)X(k+2) 0..1 arrays with no 3x3 subblock diagonal sum 0 or 1 and no antidiagonal sum 0 or 1 and no row sum 0 and no column sum 0. A254978

a(n) = A289671(n)/2^f(n), where f(n) = 2·floor((n-1)/3) + ((n+2) mod 3) = A004523(n). A289677

Least k such that the first k terms of A006928 contain n more 2's than 1's. A25507

Expansion of (theta₃(z)*theta₃(19z) + theta₂(z)*theta₂(19z))⁴. A28644

Structured truncated tetrahedral numbers. A100156

Indices in A006928 where the imbalance between 1's and 2's sets a new record. A274775

Molien series for A₁₀. A8633

Number of (n+2)X(3+2) 0..1 arrays with no 3x3 subblock diagonal sum 0 or 1 and no antidiagonal sum 0 or 1 and no row sum 0 and no column sum 0. A254973

Number of walks within N³ (the first octant of Z³) starting at (0,0,0) and consisting of n steps taken from {(-1, 0, 0), (-1, 0, 1), (0, -1, 1), (1, 0, 0), (1, 1, -1)}. A148622

Number of (n+2)X(n+2) 0..1 arrays with no 3x3 subblock diagonal sum 0 or 1 and no antidiagonal sum 0 or 1 and no row sum 0 and no column sum 0. A254970