Properties of the Number 48098

Forty-Eight Thousand Ninety-Eight

Basics

Value: 48097 → 48098 → 48099

Parity: even

Prime: No

Previous Prime: 48091

Next Prime: 48109

Digit Sum: 29

Digital Root: 2

Palindrome: No

Factorization: 2 × 24049

Divisors: 1, 2, 24049, 48098

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 1011101111100010

Octal: 135742

Duodecimal: 23A02

Hexadecimal: bbe2

Square: 2313417604

Square Root: 219.31256233968907

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

Minimal determinant of an n X n Toeplitz matrix using the integers 1 to 2·n - 1. A350930

Expansion of ∏_k>=1 1/(1 - x^k)^A000593(k). A301799

The limiting sequence [A259095(r(r+1)/2-s,r), s=0,1,2,...,r-1] for very large r. A5576

a(n) is the minimal determinant of an n X n Hankel matrix using the integers 1 to 2·n - 1. A368351

Numbers k that are sqrt(k)-smooth: if p | k then p² <= k when p is prime. A48098

Rectangular table of coefficients T(k,n) in row functions R(k,x) = ∑_n>=0 T(k,n)*xⁿ that satisfy the condition: ∑_n>=0 xⁿ/(1 - x·R(k,x)^n+k) = ∑_n>=0 xⁿ*R(k,x)ⁿ/(1 - x·R(k,x)^k·n+k-1), for k >= 0, read here by antidiagonals. A340940