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 [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 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)

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