Properties of the Number 40278

Forty Thousand Two Hundred Seventy-Eight

Basics

Value: 40277 → 40278 → 40279

Parity: even

Prime: No

Previous Prime: 40277

Next Prime: 40283

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 2 × 3 × 7 ² × 137

Divisors: 1, 2, 3, 6, 7, 14, 21, 42, 49, 98

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

8509 Try Today's Challenge

Representations

Binary: 1001110101010110

Octal: 116526

Duodecimal: 1B386

Hexadecimal: 9d56

Square: 1622317284

Square Root: 200.6937966156403

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

Number of rooted identity trees with n nodes and 3 leaves. A55328

a(n) = ∑_k=0..n binomial(5·k,n-k) * Catalan(k). A360083

Triangle T(n, k) = 2*(n+1 - mod(n, k+1) - mod(n, n-k+1) ) + (n! - k! - (n-k)!) read by rows. A176151

Numbers k such that the k-th triangular number contains only digits {1,7,8}. A119147

Number of ordered triples (w,x,y) with all terms in {-n,...-1,1,...,n} and 2w+x+y>2. A211619

O.g.f. A(x) satisfies: [xⁿ] exp( n*(n+1) * x ) / A(x)ⁿ⁺¹ = 0 for n > 0. A337458

O.g.f. A(x) satisfies: [xⁿ] exp( n*(n-1) * x/A(x) ) = 0 for n > 0. A337457

Continued fraction for sqrt(296). A40278

E.g.f. A(x) satisfies: [x^n-1] exp(n²*x) / A(x)ⁿ = 0 for n>1. A319144

L.g.f. A(x) satisfies: [x^n-1] exp( n²*x - n·A(x) ) = 0 for n>1. A319146