### About the Number 512 (five hundred twelve)

On 9 October 2009, MathBabbler posted is 256th tweet. There was already a nBAB for the number 256, which is 2^8, but there wasn't a nBAB for 2^9 (i.e. `512`).

```   MathBabbler Number Analyst (MBNA) output:
=========================================
512 is a natural, whole, integer
512 is even
512 proper divisors are: 1,2,4,8,16,32,64,128,256,
512 is deficient (sum of divisors is 511)
512 is unhappy
512 is a Harshad number
512 is not prime
512 has the prime factors: 2*2*2*2*2*2*2*2*2 (sum=18)
512 sum of prime factors is: 18
512 in octal is 01000
512 in hexadecimal is 0x200
512 in binary is 1000000000 (is odious)
512 nearest square numbers: -28...17 (484...529 )
sqrt(512) = 22.6274
ln(512) = 6.23832
log(512) = 2.70927
512 is 2^9
512 is 8^3
512 reciprocal is .00195312500000000000000000000000
512! is 3.47729e+1166
512 is 162.975 Pi years
512 is 25 score and 12 years
512 written as a Roman numeral is DXII
```

According to NumberGossip.com, `512` is the "smallest integer (except 1) which is the cube of the sum of its digits." Wikipedia.org states that 512 is a Dudeney number.

`512` = 16^2 + 16^2

`512` is a Leyland number because it is of the form x^y + y^x, where x and y are greater than one. `512` = 4^4 + 4^4

Note: On 9 October 2009 (the date this nBAB was created), the MBNA was not checking for Leyland numbers.

Creator: Gerald Thurman [gthurman@gmail.com]
Created: 09 October 2009 (posted 15 October 2009) 