Properties of the Number 49219

Forty-Nine Thousand Two Hundred Nineteen

Basics

Value: 49218 → 49219 → 49220

Parity: odd

Prime: No

Previous Prime: 49211

Next Prime: 49223

Digit Sum: 25

Digital Root: 7

Palindrome: No

Factorization: 83 × 593

Divisors: 1, 83, 593, 49219

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1100000001000011

Octal: 140103

Duodecimal: 24597

Hexadecimal: c043

Square: 2422509961

Square Root: 221.85355530168994

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

Matrix logarithm of triangle A104980. A104986

Triangular array: T(n,k) = T(n,n) = 1, T(n,k) = 5·T(n-1, k-1) + 2·T(n-1, k), read by rows. A119727

Number of (w,x,y) with all terms in {0,...,n} and 2·max(w,x,y) >= 3·min(w,x,y). A213392

Expansion of (1+11·x+24·x²+11·x³+x⁴)/(1-x)⁵. A294433

Number of 4Xn 0..1 arrays with every element equal to 1, 2, 4 or 5 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero. A302530

Expansion of g.f. (1+z+z²-sqrt(1+2·z-z²-6·z³-3·z⁴))/(2·z²*(1+z)). A359140

T(n,k)=Number of nXk 0..1 arrays with every element equal to 1, 2, 4 or 5 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero. A302528

Number of horizontally convex n-ominoes in which the top row has exactly 1 square. A49219