### About the Number 252 (two hundred fifty-two)

252 was the smallest number that didn't have a nBAB on 7 April 2016. MathBabbler is trying to ensure that the numbers 0-300 have nBABs by the end of the Spring 2016 Semester. With the posting of this nBAB for 252, 253 became the smallest number without a nBAB on 7 April 2016.

```MathBabbler Number Analyst (MBNA) output:
=========================================
252 is a natural, whole, integer
252 is even
252 proper divisors are: 1,2,3,4,6,7,9,12,14,18,21,28,36,42,63,84,126,
252 is refactorable (evenly divisable  by # of divisors)
252 has 17 proper divisors
252 is abundant (sum of divisors is 476; ratio: 1.88889)
252 is unhappy
252 is not a Squarefree Number: 4,9,36,
252 is Harshad (Niven) number
252 is composite (not prime)
252 has the prime factors: 2*2*3*3*7 (sum=17)
252 is a 7-smooth number
252 is undulating
252 is palindromic
252 is the sum of 6 consecutive primes
252 = 31 + 37 + 41 + 43 + 47 + 53
252 in octal is 0374
252 in hexadecimal is 0xfc
252 in binary is 11111100 (is evil)
252 nearest square numbers: -27...4 (225...256 )
sqrt(252) = 15.8745
ln(252) = 5.52943
log(252) = 2.4014
252 reciprocal is .00396825396825396825396825396825
252! is 2.04485e+497
252 is 80.2141 Pi years
252 is 12 score and 12 years
252 written as a Roman numeral is CCLII
252 is 64^2 - 62^2 and 2 * (64 + 62)
252 is a multiple of 2 & it contains a 2 (A121022)
```

Creator: Gerald Thurman [gthurman@gmail.com]
Created: 07 April 2016 