496

Number
$496$ (four hundred and ninety-six) is:


 * $2^4 \times 31$


 * The $31$st triangular number after $1$, $3$, $6$, $10$, $15$, $\ldots$, $325$, $351$, $378$, $406$, $435$, $465$:
 * $496 = \displaystyle \sum_{k \mathop = 1}^{31} k = \dfrac {31 \times \left({31 + 1}\right)} 2$


 * The $16$th hexagonal number after $1$, $6$, $15$, $28$, $45$, $66$, $91$, $120$, $153$, $190$, $231$, $276$, $325$, $378$, $435$:
 * $496 = \displaystyle \sum_{k \mathop = 1}^{16} \left({4 k - 3}\right) = 16 \left({2 \times 16 - 1}\right)$


 * The $3$rd perfect number after $6$ and $28$:
 * $496 = 1 + 2 + 4 + 8 + 16 + 31 + 62 + 124 + 248 = 31 \times 16 = \left({2^5 - 1}\right) \left({2^{5 - 1} }\right)$


 * The $12$th primitive semiperfect number after $6$, $20$, $28$, $88$, $104$, $272$, $304$, $350$, $368$, $464$, $490$:
 * $496 = 1 + 2 + 4 + 8 + 16 + 31 + 62 + 124 + 248$


 * The $6$th Ore number after $1$, $6$, $28$, $140$, $270$:
 * $\dfrac {496 \times \tau \left({496}\right)} {\sigma \left({496}\right)} = 5$