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.

`).`

512MathBabbler 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 [23]) 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 DXIIAccording to NumberGossip.com,

`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`

512Note: 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)

This work is licensed under a Creative Commons Attribution 3.0 United States License.