Properties of the Number 19492

Nineteen Thousand Four Hundred Ninety-Two

Basics

Value: 19491 → 19492 → 19493

Parity: even

Prime: No

Previous Prime: 19489

Next Prime: 19501

Digit Sum: 25

Digital Root: 7

Palindrome: No

Factorization: 2 ² × 11 × 443

Divisors: 1, 2, 4, 11, 22, 44, 443, 886, 1772, 4873

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 100110000100100

Octal: 46044

Duodecimal: B344

Hexadecimal: 4c24

Square: 379938064

Square Root: 139.61375290421785

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

Numbers that are the sum of eight fourth powers in eight or more ways. A345583

Numbers that are the sum of eight fourth powers in nine or more ways. A345584

Numbers that are the sum of eight fourth powers in ten or more ways. A345585

Numbers that are the sum of eight fourth powers in exactly ten ways. A345842

a(n) = A273059(4n+2). A275918

Expansion of e.g.f.: A(x) = exp( ∑_n>=1 (n-1)!*xⁿ/n ). A159476

Those terms of A255571 whose every A080541/A080542-rotation is also a term of A255571. A258001

Least k such that k³ + q is divisible by 3ⁿ where q is the n-th number congruent to 1 or -1 (mod 18). A251731

G.f. satisfies A(x) = A(x²) + A(x²)²*A(x³)/A(x⁶), with A(0) = 0 and A'(0) = 1. A382316

Number of partitions satisfying cn(0,5) < cn(1,5) + cn(2,5) + cn(3,5) and cn(0,5) < cn(4,5) + cn(2,5) + cn(3,5). A39847