262,144

Number
$262 \, 144$ (two hundred and sixty-two thousand, one hundred and forty-four) is:
 * $2^{18}$


 * The $512$th square number:
 * $262 \, 144 = 512 \times 512$


 * The $64$th cube number:
 * $262 \, 144 = 64 \times 64 \times 64$


 * The $8$th $6$th power after $1$, $64$, $729$, $4096$, $15 \, 625$, $46 \, 656$, $117 \, 649$:
 * $262 \, 144 = 8 \times 8 \times 8 \times 8 \times 8 \times 8$


 * The $6$th power of $8$ after $(1)$, $8$, $64$, $512$, $4096$, $32 \, 768$:
 * $262 \, 144 = 8^6$


 * The $9$th power of $4$ after $(1)$, $4$, $16$, $64$, $256$, $1024$, $4096$, $16 \, 384$, $65 \, 536$:
 * $262 \, 144 = 4^9$


 * The $18$th power of $2$ after $(1)$, $2$, $4$, $8$, $16$, $32$, $64$, $128$, $256$, $512$, $1024$, $2048$, $4096$, $8192$, $16 \, 384$, $32 \, 768$, $65 \, 536$, $131 \, 072$:
 * $262 \, 144 = 2^{18}$


 * The $19$th almost perfect number after $1$, $2$, $4$, $8$, $16$, $32$, $64$, $128$, $256$, $512$, $1024$, $2048$, $4096$, $8192$, $16 \, 384$, $32 \, 768$, $65 \, 536$, $131 \, 072$:
 * $\map \sigma {262 \, 144} = 524 \, 287 = 2 \times 262 \, 144 - 1$

Also see