Properties of the Number 82549

Eighty-Two Thousand Five Hundred Forty-Nine

Basics

Value: 82548 → 82549 → 82550

Parity: odd

Prime: Yes

Previous Prime: 82531

Next Prime: 82559

Digit Sum: 28

Digital Root: 1

Palindrome: No

Factorization: 82549

Divisors: 1, 82549

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 10100001001110101

Octal: 241165

Duodecimal: 3B931

Hexadecimal: 14275

Square: 6814337401

Square Root: 287.31341771661135

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 nXk 0..1 arrays with every 1 horizontally, diagonally or antidiagonally adjacent to 2 or 4 neighboring 1s. A297733

Number of different cuboids with volume (pq)ⁿ, where p,q are distinct prime numbers. A101427

Number of equivalence classes of convex lattice polygons of genus n, restricting the count to those polygons that are interior to another polygon. A322344

Number of nX7 0..1 arrays with every 1 horizontally, diagonally or antidiagonally adjacent to 2 or 4 neighboring 1s. A297732

Number of 5Xn 0..1 arrays with every 1 horizontally, diagonally or antidiagonally adjacent to 2 or 4 neighboring 1s. A297737

A symmetrical triangle:q=4;c(n,q)=Product[1 - qⁱ, {i, 1, n}];t(n,m,q)=A060187(n,m)-c(n,q)/(c(m,q)*c(n-m,q))+1. A176469

Numbers k such that concatenation of first k primes, separated by zeros, is prime. A82549