MathBabbler was surprised to discover he did not have a nBAB for the number

4000when he created a nBAB for the number 5000 on 14 June 2012. There is now a nBAB for the number4000. In addition, when this nBAB was created there were nBAB collections for numbers that were multiples of ten and numbers that were multiples of 100. Now there is a collection of nBABs for number that are multiples of 1000.MathBabbler Number Analyst (MBNA) output: ========================================= 4000 is a natural, whole, integer 4000 is even 4000 proper divisors are: 1,2,4,5,8,10,16,20,25,32,40,50,80,100, 125,160,200,250,400,500,800,1000,2000, 4000 is abundant (sum of divisors is 5828) 4000 is unhappy 4000 is not a Squarefree Number: 4,16,25,100,400, 4000 is a Harshad number 4000 is not prime 4000 has the prime factors: 2*2*2*2*2*5*5*5 (sum=25) 4000 sum of prime factors is: 25 4000 is the sum of 40 consecutive primes 4000 = 13 + 17 + 19 + 23 + 29 + 31 + 37 + 41 + 43 + 47 + 53 + 59 + 61 + 67 + 71 + 73 + 79 + 83 + 89 + 97 + 101 + 103 + 107 + 109 + 113 + 127 + 131 + 137 + 139 + 149 + 151 + 157 + 163 + 167 + 173 + 179 + 181 + 191 + 193 + 197 4000 in octal is 07640 4000 in hexadecimal is 0xfa0 4000 in binary is 111110100000 (is evil) 4000 nearest square numbers: -31...96 (3969...4096 [64]) sqrt(4000) = 63.2456 ln(4000) = 8.29405 log(4000) = 3.60206 4000 reciprocal is .00025000000000000000000000000000 4000 is an apocalyptic power 4000! is inf 4000 is 1273.24 Pi years 4000 is 200 scoreyears 4000 = 1001^2 - 999^2 and 2 * (1001 + 999) = 4000

`= 3.14281, which when rounded to the nearest hundredth equals`

log_{14}(4000)Pirounded to the nearest hundredth.

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

**Created:** 16 June 2012

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