496

496 is a natural number that follows 495 and precedes 497. It is an even composite number and is notable for being a perfect number, the third one in the sequence beginning with 6 and 28.

In number theory terms, 496 has the prime factorization 2^4 × 31. Its divisors are 1, 2, 4, 8, 16, 31, 62, 124, 248, and 496. The proper divisors (all divisors excluding the number itself) sum to 496, which makes 496 a perfect number. This perfectness corresponds to the Euclid–Euler form 2^(p−1) × (2^p − 1) with p = 5, since 2^5 − 1 = 31 is a Mersenne prime.

Numerically, 496 has several interesting representations. In binary it is 111110000, in octal it is 760, and in hexadecimal it is 1F0. In Roman numerals it can be written as CDXCVI. It is also the 31st triangular number, since 31 × 32 / 2 = 496, meaning it equals the sum of the integers from 1 to 31.

Overall, 496 is a small yet significant number in mathematics, illustrating the properties of even perfect numbers, triangular numbers, and simple base representations.