92
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Number
$92$ (ninety-two) is:
- $2^2 \times 23$
- The $6$th tri-automorphic number after $2$, $5$, $7$, $67$, $75$:
- $92^2 \times 3 = 25 \, 5 \mathbf {92}$
- The $8$th pentagonal number after $1$, $5$, $12$, $22$, $35$, $51$, $70$:
- $92 = 1 + 4 + 7 + 10 + 13 + 16 + 19 + 22 = \dfrac {8 \paren {3 \times 8 - 1} } 2$
- The $15$th generalized pentagonal number after $1$, $2$, $5$, $7$, $12$, $15$, $22$, $26$, $35$, $40$, $51$, $57$, $70$, $77$:
- $92 = \dfrac {8 \paren {3 \times 8 - 1} } 2$
- The $18$th positive integer $n$ after $5$, $11$, $17$, $23$, $29$, $30$, $36$, $42$, $48$, $54$, $60$, $61$, $67$, $73$, $79$, $85$, $91$ such that no factorial of an integer can end with $n$ zeroes
- The $27$th positive integer which is not the sum of $1$ or more distinct squares:
- $2$, $3$, $6$, $7$, $8$, $11$, $12$, $15$, $18$, $19$, $22$, $23$, $24$, $27$, $28$, $31$, $32$, $33$, $43$, $44$, $47$, $48$, $60$, $67$, $72$, $76$, $92$, $\ldots$