Perfect Number/Examples/496

Example of Perfect Number
$496$ is a perfect number:
 * $1 + 2 + 4 + 8 + 16 + 31 + 62 + 124 + 248 = 496$

Proof
Thus $496$ is in the form $2^{p - 1} \paren {2^p - 1}$.

$2^5 - 1 = 31$ is prime.

So $496$ is perfect by the Theorem of Even Perfect Numbers.

The aliquot parts of $496$ are enumerated at :
 * $1, 2, 4, 8, 16, 31, 62, 124, 248$