512
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Number
$512$ (five hundred and twelve) is:
- $2^9$
- In binary:
- $1 \, 000 \, 000 \, 000$
- In octal:
- $1 \, 000$
- The $3$rd power of $8$ after $(1)$, $8$, $64$:
- $512 = 8^3$
- The $8$th cube number after $1$, $8$, $27$, $64$, $125$, $216$, $343$:
- $512 = 8 \times 8 \times 8$
- The $9$th power of $2$ after $(1)$, $2$, $4$, $8$, $16$, $32$, $64$, $128$, $256$:
- $512 = 2^9$
- The $10$th almost perfect number after $1$, $2$, $4$, $8$, $16$, $32$, $64$, $128$, $256$:
- $\map {\sigma_1} {512} = 1023 = 2 \times 512 - 1$
- The $10$th positive integer after $128$, $192$, $256$, $288$, $320$, $384$, $432$, $448$, $480$ with $7$ or more prime factors:
- $512 = 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 \paren {\times \, 2 \times 2}$
- The index (after $2$, $3$, $6$, $30$, $75$, $81$, $115$, $123$, $249$, $362$, $384$, $462$) of the $13$th Woodall prime:
- $512 \times 2^{512} - 1$
- The $14$th positive integer after $200$, $202$, $204$, $205$, $206$, $208$, $320$, $322$, $324$, $325$, $326$, $328$, $510$ that cannot be made into a prime number by changing just $1$ digit
- The $25$th positive integer after $64$, $96$, $128$, $144$, $\ldots$, $384$, $400$, $416$, $432$, $448$, $480$, $504$ with $6$ or more prime factors:
- $512 = 2 \times 2 \times 2 \times 2 \times 2 \times 2 \paren {\times \, 2 \times 2 \times 2}$
- The $39$th powerful number after $1$, $4$, $8$, $9$, $16$, $25$, $\ldots$, $289$, $324$, $343$, $361$, $392$, $400$, $432$, $441$, $484$, $500$:
- $512 = 2^9$
Also see
- Previous ... Next: Sequence of Powers of 8
- Previous ... Next: Sequence of Powers of 2
- Previous ... Next: Almost Perfect Number
- Previous ... Next: Cube Number
- Previous ... Next: Woodall Prime
- Previous ... Next: Numbers with 7 or more Prime Factors
- Previous ... Next: Powerful Number
- Previous ... Next: Numbers with 6 or more Prime Factors
- Previous ... Next: Numbers that cannot be made Prime by changing 1 Digit
Sources
- 1986: David Wells: Curious and Interesting Numbers ... (previous) ... (next): $512$
- 1997: David Wells: Curious and Interesting Numbers (2nd ed.) ... (previous) ... (next): $512$