Properties of the Number 40178

Forty Thousand One Hundred Seventy-Eight

Basics

Value: 40177 → 40178 → 40179

Parity: even

Prime: No

Previous Prime: 40177

Next Prime: 40189

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 2 × 20089

Divisors: 1, 2, 20089, 40178

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 1001110011110010

Octal: 116362

Duodecimal: 1B302

Hexadecimal: 9cf2

Square: 1614271684

Square Root: 200.44450603596

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+2)X(k+2) 0..3 arrays with every 3X3 subblock row and column sum equal to 0 3 5 6 or 8 and every 3X3 diagonal and antidiagonal sum not equal to 0 3 5 6 or 8. A252334

a(n) = 81·n² - 118·n + 43. A156677

a(n) = a(1)*a(n-1) + a(2)*a(n-2) + ... + a(n-3)*a(3) for n >= 4, with initial terms 1, 1, 2, 2. A25244

a(0) = 1, a(n) = 31·n² + 2 for n>0. A10020

Number of (n+2)X(2+2) 0..3 arrays with every 3X3 subblock row and column sum equal to 0 3 5 6 or 8 and every 3X3 diagonal and antidiagonal sum not equal to 0 3 5 6 or 8. A252328

Number of (n+2)X(6+2) 0..3 arrays with every 3X3 subblock row and column sum equal to 0 3 5 6 or 8 and every 3X3 diagonal and antidiagonal sum not equal to 0 3 5 6 or 8. A252332

a(n) is the least positive number k such that n is the greatest m such that k is a quadratic nonresidue mod prime(i+1) for i=1..m and {k mod prime(i+1): i=1..m} are all distinct. A385051

Primes p such that x⁵ = 10 has no solution mod p. A40178