Properties of the Number 39200

Thirty-Nine Thousand Two Hundred

Basics

Value: 39199 → 39200 → 39201

Parity: even

Prime: No

Previous Prime: 39199

Next Prime: 39209

Digit Sum: 14

Digital Root: 5

Palindrome: No

Factorization: 2 ⁵ × 5 ² × 7 ²

Divisors: 1, 2, 4, 5, 7, 8, 10, 14, 16, 20

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1001100100100000

Octal: 114440

Duodecimal: 1A828

Hexadecimal: 9920

Square: 1536640000

Square Root: 197.9898987322333

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

a(n) = 2·binomial(n,3). A7290

Triangle T(n,d) (listed row-wise: T(1,1)=1, T(2,1)=1, T(2,2)=1, T(3,1)=2, T(3,2)=2, T(3,3)=1, ...) giving the number of n-edge general plane trees with root degree d that are fixed by the six-fold application of Catalan Automorphisms A057511/A057512 (Deep rotation of general parenthesizations/plane trees). A79222

T(n,k)=Number of nXk 0..1 arrays with no element unequal to more than four of its king-move neighbors, with the exception of exactly one element, and with new values introduced in order 0 sequentially upwards. A281988

a(n) = L(n)² * F(n+1)² * L(n-1) * F(n+2), where F(n) and L(n) are the Fibonacci and Lucas numbers, respectively. A163196

a(n) = 32·n². A244082

a(n) = -(uⁿ-1)*(vⁿ-1) with u = 1+sqrt(2), v = 1-sqrt(2). A129744

Continued fraction expansion for exp( ∑_n>=1 1/(n·A003499(n)) ), where A003499(n) = (3+sqrt(8))ⁿ + (3-sqrt(8))ⁿ. A174501

Simple continued fraction expansion of an infinite product. A221073

a(n) = 80000·n² - 39200·n + 4801. A157653

The smaller of a pair of successive powerful numbers (A001694) without any prime number between them. A240591