What is 496 (number)?
{{Infobox number | number = 496 }} '''496''' ('''four hundred [and] ninety-six''') is a [[natural number]]. It is after [[495 (number)|495]] and before [[497 (number)|497]]. ==In mathematics== 496 is the third [[perfect number]]. 496 is also a harmonic divisor number. This is because the number of proper divisors of 496 [[division (mathematics)|divided]] by the [[sum]] of the [[reciprocal|reciprocals]] of its [[division (mathematics)|divisors]], 1, 2, 4, 8, 16, 31, 62, 124, 248 and 496 (the harmonic mean) is an [[integer]]. 496 is also a [[triangular number]], hexagonal number and a centered nonagonal number.<ref>{{Cite web|url=https://oeis.org/A060544|title=Centered 9-gonal numbers|website=The On-Line Encyclopedia of Integer Sequences|publisher=OEIS Foundation|access-date=2016-05-16}}</ref> It is also the largest happy number less than 500. There is no [[solution]] to the [[equation]] [[Euler's phi function|φ]](''x'') = 496. This means that 496 is a nontotient. == References == {{Reflist}} [[Category:Integers]]