Properties of the Number 90498

Ninety Thousand Four Hundred Ninety-Eight

Basics

Value: 90497 → 90498 → 90499

Parity: even

Prime: No

Previous Prime: 90481

Next Prime: 90499

Digit Sum: 30

Digital Root: 3

Palindrome: No

Factorization: 2 × 3 × 15083

Divisors: 1, 2, 3, 6, 15083, 30166, 45249, 90498

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10110000110000010

Octal: 260602

Duodecimal: 44456

Hexadecimal: 16182

Square: 8189888004

Square Root: 300.8288549989844

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 k such that k and k² use only the digits 0, 1, 4, 8 and 9. A136867

Expansion of -(x*(1-sqrt((2*(1-sqrt(4·x²+1)))/x+1)))/(1-sqrt(4·x²+1)) - 1. A243814

Expansion of (x·sqrt(4·x²+1)-x)/(x·sqrt(-(2·sqrt(4·x²+1)-x-2)/x) + sqrt(4·x²+1)-x-1). A243816

Array read by antidiagonals: T(m,n) (m >= 0, n >= 0) = number of max-and-min-closed constraints between an m-element set and an n-element set. A372068

Number of divisors of all the numbers from (1/2)n(n-1)+1 to n(n+1)/2, i.e., τ(1), τ(2)+τ(3), τ(4)+τ(5)+τ(6), τ(7)+τ(8)+τ(9)+τ(10), ..., where τ(j) is the number of divisors of j. A90498

G.f. A(x) satisfies: A( A(x)³ ) = C(x) * A(x)², where C(x) = x + C(x)², with A(0)=0, A'(0)=1. A272484

Number of 7Xn 0..1 arrays avoiding 0 0 0 and 0 1 1 horizontally and 0 1 1 and 1 0 1 vertically. A207274