5200

5200 is a natural number that follows 5199 and precedes 5201. In mathematics, it is an even composite number with prime factorization 2^4 × 5^2 × 13. This factorization implies 5200 has 30 positive divisors and is divisible by 16, 25, 100, 200, 400, and 5200 among others. The Euler totient of 5200 is 1920, meaning there are 1920 integers up to 5200 that are relatively prime to 5200.

In different numeral systems, 5200 is written as decimal 5200, binary 1010001010000_2, octal 12120_8, and hexadecimal 0x1450. These representations reflect the same value in various bases.

As a number, 5200 is notable for being a multiple of 100 and for its mixed factorization involving powers of 2, 5, and 13. Its divisors include 1, 2, 4, 5, 8, 10, 13, 16, 20, 25, 26, 40, 50, 65, 80, 100, 104, 130, 160, 208, 260, 325, 400, 520, 650, 1040, 1300, 2600, and 5200.

There are no widely recognized constants or theorems uniquely associated with the number 5200. It is mainly encountered as a specific value in arithmetic problems, numerical examples, or catalog numbers rather than as a distinctive mathematical constant.