Properties of the Number 50196

Fifty Thousand One Hundred Ninety-Six

Basics

Value: 50195 → 50196 → 50197

Parity: even

Prime: No

Previous Prime: 50177

Next Prime: 50207

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 2 ² × 3 × 47 × 89

Divisors: 1, 2, 3, 4, 6, 12, 47, 89, 94, 141

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1100010000010100

Octal: 142024

Duodecimal: 25070

Hexadecimal: c414

Square: 2519638416

Square Root: 224.0446384094027

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

G.f.: ∑_n>=0 (xⁿ⁺¹ + i)ⁿ / (1 + i·xⁿ)ⁿ⁺¹, in which the constant term is taken to be 1. A323690

Expansion of ∑_k>=1 (-1 + ∏_j>=1 (1 + x^k·j)^j). A302550

Number of (n+2)X(4+2) 0..2 arrays with no element unequal to a strict majority of its horizontal, vertical, diagonal and antidiagonal neighbors, with values 0..2 introduced in row major order. A231223

T(n,k)=Number of (n+2)X(k+2) 0..2 arrays with no element unequal to a strict majority of its horizontal, vertical, diagonal and antidiagonal neighbors, with values 0..2 introduced in row major order. A231227

a(1) = 1, a(n) = floor(a(n-1)/2) if this is not among 0,a(1),...,a(n-1); otherwise a(n) = a(n-1) + a(n-2). A50196

Number of (n+1)X(1+1) 0..3 arrays with the maximum plus the lower median minus the upper median of every 2X2 subblock differing from its horizontal and vertical neighbors by exactly one. A238058