532

Number
$532$ (five hundred and thirty-two) is:


 * $2^2 \times 7 \times 19$


 * The $19$th pentagonal number after $1$, $5$, $12$, $22$, $35$, $51$, $70$, $92$, $117$, $145$, $176$, $210$, $247$, $287$, $330$, $330$, $376$, $425$, $477$:
 * $532 = \ds \sum_{k \mathop = 1}^{19} \paren {3 k - 2} = \dfrac {19 \paren {3 \times 19 - 1} } 2$


 * The $37$th generalized pentagonal number after $1$, $2$, $5$, $7$, $12$, $15$, $\ldots$, $392$, $425$, $442$, $477$, $495$:
 * $532 = \ds \sum_{k \mathop = 1}^{19} \paren {3 k - 2} = \dfrac {19 \paren {3 \times 19 - 1} } 2$