57000

57000 is a natural number that sits between 56999 and 57001. In mathematics, it is notable as a relatively large composite number with multiple small prime factors and several standard representations in different bases.

Its prime factorization is 2^3 × 3 × 5^3 × 19. This factorization implies 57000 has 64 positive divisors. The sum of all divisors is 187,200, which means the sum of proper divisors is 130,200. Therefore, 57000 is an abundant number, as the sum of its proper divisors exceeds the number itself.

In common numeral systems, 57000 appears as decimal 57000, binary 1101111010101000, octal 157250, and hexadecimal 0xDEA8. It is divisible by 12, since the sum of its digits is 12 (5+7+0+0+0), making it a Harshad (Niven) number in base 10. This property reflects its divisibility by 3 and by 4, which combine to yield divisibility by 12.

The number 57000 is often used as a convenient, round value in examples and computational tests because its factorization yields many small divisors and straightforward base conversions. Its abundance and factor structure also make it a useful case study in introductory number theory and digital representation discussions.