Properties of the Number 87549

Eighty-Seven Thousand Five Hundred Forty-Nine

Basics

Value: 87548 → 87549 → 87550

Parity: odd

Prime: No

Previous Prime: 87547

Next Prime: 87553

Digit Sum: 33

Digital Root: 6

Palindrome: No

Factorization: 3 × 7 × 11 × 379

Divisors: 1, 3, 7, 11, 21, 33, 77, 231, 379, 1137

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10101010111111101

Octal: 252775

Duodecimal: 427B9

Hexadecimal: 155fd

Square: 7664827401

Square Root: 295.88680267967345

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

T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with nondecreasing x(i,j)-x(i,j-1) in the i direction and nondecreasing x(i,j)+x(i-1,j) in the j direction. A250755

Number of 2-element intersecting families whose union is an n-element set. A53152

Number of n-node rooted trees with a forbidden limb of length 8. A255638

Number of rooted trees with n nodes such that no more than seven subtrees of the same size extend from the same node. A318801

Number of rooted trees with n nodes such that no more than seven isomorphic subtrees extend from the same node. A318854

Number of main classes of diagonal Latin squares of order n. A287764

a(1) = 1, a(2) = 1, a(n) = sum of τ(n) previous terms, where τ(n) is the number of divisors of n. A87549