248

Number
$248$ (two hundred and forty-eight) is:


 * $2^3 \times 31$


 * The $39$th nontotient:
 * $\nexists m \in \Z_{>0}: \phi \left({m}\right) = 248$
 * where $\phi \left({m}\right)$ denotes the Euler $\phi$ function


 * The $16$th untouchable number after $2$, $5$, $52$, $88$, $96$, $120$, $124$, $146$, $162$, $188$, $206$, $210$, $216$, $238$, $246$


 * The $14$th integer $n$ after $1, 3, 15, 30, 35, 56, 70, 78, 105, 140, 168, 190, 210$ with the property that $\tau \left({n}\right) \mathrel \backslash \phi \left({n}\right) \mathrel \backslash \sigma \left({n}\right)$:
 * $\tau \left({248}\right) = 8$, $\phi \left({248}\right) = 120$, $\sigma \left({248}\right) = 480$


 * The $49$th positive integer $n$ such that no factorial of an integer can end with $n$ zeroes.