95800

95800 is a natural number that follows 95799 and precedes 95801. It is an even, composite integer with a rich factorization and distinct representations in several bases.

In prime factorization, 95800 = 2^3 × 5^2 × 479, where 479 is a prime. This decomposition shows that the number is divisible by 8 and by 25, and overall by 200 as 200 × 479. Based on its factorization, 95800 has 24 positive divisors.

The sum of all divisors of 95800, denoted sigma(95800), equals 223,200. Therefore the sum of its proper divisors is 223,200 − 95,800 = 127,400, which is greater than 95,800. Consequently, 95800 is an abundant number.

In numeral systems, 95800 has several concise representations. In binary it is 10111011000111000. In hexadecimal it is 0x17638, and in octal it is 273070_8. The decimal digit sum is 9 + 5 + 8 + 0 + 0 = 22, indicating it is not a Harshad number in base 10.

Because it is composite with multiple small and large prime factors, 95800 has a range of divisors and appears in various arithmetic and coding contexts. There are no widely noted mathematical constants or theorems specifically associated with 95800, beyond its standard properties as a five-digit integer.