413was the smallest number that didn't have a nBAB on 19 April 2017.MathBabbler was 59 years young when he created this nBAB for the number

413and413is a 59-smooth number (i.e. the smallest prime factor of413is 59).MathBabbler Number Analyst (MBNA) output: ========================================= 413 is natural, counting, whole, integer 413 is odd (not even) 413 is not extremely odd 413 proper divisors are: 1,7,59, 413 has 3 proper divisors 413 is deficient (sum of divisors is 67; ratio: 0.162228) 413 is unhappy 413 is a Squarefree Number 413 is composite (not prime) 413 has the prime factors: 7*59 (sum=66) 413 is semiprime (biprime or 2-almost prime) 413 is a 59-smooth number 413 in octal is 0635 413 in hexadecimal is 0x19d 413 in binary is 110011101 (is evil) 413 nearest square numbers: -13...28 (400...441 [21]) sqrt(413) = 20.3224 ln(413) = 6.02345 log(413) = 2.61595 413! is 5.38149e+902 413 is 131.462 Pi years 413 is 20 score and 13 years 413 written as a Roman numeral is CDXIII 413 is 207^2 - 206^2 and 207 + 206 = 413 413 is a multiple of 1 & it contains a 1 (A011531) ______________________________________________________________________________________________________________________________________________________________________________ 413 reciprocal is 0.002421307506053268765133171912832929782082324455205811138014527845036319612590799031476997578692493946731234866828087167070217917675544794188861985472154963680387409200968523 remainders: 1,10,100,174,88,54,127,31,310,209,25,250,22,220,135,111,284,362,316,269,212,55,137,131,71,297,79,377,53,117,344,136,121,384,123,404,323,339,86,34,340,96,134,101,184,188,228,215,85,24,240,335,46,47,57,157,331,6,60,187,218,115,324,349,186,208,15,150,261,132,81,397,253,52,107,244,375,33,330,409,373,13,130,61,197,318,289,412,403,313,239,325,359,286,382,103,204,388,163,391,193,278,302,129,51,97,144,201,358,276,282,342,116,334,36,360,296,69,277,292,29,290,9,90,74,327,379,73,317,279,312,229,225,185,198,328,389,173,78,367,366,356,256,82,407,353,226,195,298,89,64,227,205,398,263,152,281,332,16,160,361,306,169,38,380,83,4,40,400,283,352,216,95,124,1

**Creator:** Gerald Thurman
[gthurman@gmail.com]

**Created:** 19 April 2017

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