256
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Number
$256$ (two hundred and fifty-six) is:
- $2^8$
- In binary:
- $10 \, 000 \, 000$
- In hexadecimal:
- $100$
- The $2$nd eighth power after $1$:
- $256 = 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2$
- The $2$nd power of $16$ after $(1)$, $16$:
- $256 = 16^2$
- The $3$rd positive integer after $128$, $192$ with $7$ or more prime factors:
- $256 = 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 \paren {\times \, 2}$
- The $3$rd (and possibly last) power of $2$ after $1$, $4$ which is the sum of distinct powers of $3$:
- $256 = 2^8 = 3^0 + 3^1 + 3^2 + 3^5$
- The $4$th fourth power after $1$, $16$, $81$:
- $256 = 4 \times 4 \times 4 \times 4$
- The $4$th power of $4$ after $(1)$, $4$, $16$, $64$:
- $256 = 4^4$
- The $6$th square number after $1$, $4$, $36$, $121$, $144$ to be the divisor sum value of some (strictly) positive integer:
- $256 = \map {\sigma_1} {217}$
- The $8$th power of $2$ after $(1)$, $2$, $4$, $8$, $16$, $32$, $64$, $128$:
- $256 = 2^8$
- The $9$th almost perfect number after $1$, $2$, $4$, $8$, $16$, $32$, $64$, $128$:
- $\map {\sigma_1} {256} = 511 = 2 \times 256 - 1$
- The $10$th positive integer after $64$, $96$, $128$, $144$, $160$, $192$, $216$, $224$, $240$ with $6$ or more prime factors:
- $256 = 2 \times 2 \times 2 \times 2 \times 2 \times 2 \paren {\times \, 2 \times 2}$
- The $16$th square number after $1$, $4$, $9$, $16$, $25$, $36$, $49$, $64$, $81$, $100$, $121$, $144$, $169$, $196$, $225$:
- $256 = 16 \times 16$
- The $27$th powerful number after $1$, $4$, $8$, $9$, $16$, $25$, $\ldots$, $144$, $169$, $196$, $200$, $216$, $225$, $243$
Also see
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Sources
- 1986: David Wells: Curious and Interesting Numbers ... (previous) ... (next): $256$
- 1997: David Wells: Curious and Interesting Numbers (2nd ed.) ... (previous) ... (next): $256$