392

Number
$392$ (three hundred and ninety-two) is:


 * $2^3 \times 7^2$


 * The $16$th second pentagonal number after $2$, $7$, $15$, $26$, $40$, $57$, $77$, $100$, $126$, $155$, $187$, $222$, $260$, $301$, $345$:
 * $392 = \dfrac {16 \paren {3 \times 16 + 1} } 2$


 * The $32$nd generalized pentagonal number after $1$, $2$, $5$, $7$, $12$, $15$, $\ldots$, $222$, $247$, $260$, $287$, $301$, $330$, $345$, $376$:
 * $392 = \dfrac {16 \paren {3 \times 16 + 1} } 2$


 * The $33$rd powerful number after $1$, $4$, $8$, $9$, $16$, $25$, $\ldots$, $144$, $169$, $196$, $200$, $216$, $225$, $243$, $256$, $288$, $289$, $324$, $343$, $361$