56

Number
$56$ (fifty-six) is:


 * $2^3 \times 7$


 * The $6$th tetrahedral number, after $1$, $4$, $10$, $20$, $35$:
 * $56 = 1 + 3 + 6 + 10 + 15 + 21 = \dfrac {6 \left({6 + 1}\right) \left({6 + 2}\right)} 6$


 * The $13$th semiperfect number after $6$, $12$, $18$, $20$, $24$, $28$, $30$, $36$, $40$, $42$, $48$, $54$:
 * $56 = 1 + 2 + 4 + 7 + 14 + 28$


 * The $1$st element of the $3$rd pair of integers $m$ whose values of $m \tau \left({m}\right)$ is equal:
 * $56 \times \tau \left({56}\right) = 448 = 64 \times \tau \left({64}\right)$


 * The $6$th integer $n$ after $1, 3, 15, 30, 35$ with the property that $\tau \left({n}\right) \mathrel \backslash \phi \left({n}\right) \mathrel \backslash \sigma \left({n}\right)$:
 * $\tau \left({56}\right) = 8$, $\phi \left({56}\right) = 24$, $\sigma \left({56}\right) = 120$