Base | Representation |
---|---|
bin | 1001100101001… |
… | …1010001111100 |
3 | 2210121201012120 |
4 | 2121103101330 |
5 | 40241441004 |
6 | 3553202540 |
7 | 665404164 |
oct | 231232174 |
9 | 83551176 |
10 | 40187004 |
11 | 20759100 |
12 | 11560450 |
13 | 84309c0 |
14 | 54a15a4 |
15 | 37dc3d9 |
hex | 265347c |
40187004 has 72 divisors (see below), whose sum is σ = 111049680. Its totient is φ = 11235840.
The previous prime is 40186999. The next prime is 40187027. The reversal of 40187004 is 40078104.
40187004 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a super-2 number, since 2×401870042 = 3229990580992032, which contains 22 as substring.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17812 + ... + 19940.
Almost surely, 240187004 is an apocalyptic number.
40187004 is a gapful number since it is divisible by the number (44) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 40187004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55524840).
40187004 is an abundant number, since it is smaller than the sum of its proper divisors (70862676).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
40187004 is a wasteful number, since it uses less digits than its factorization.
40187004 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2171 (or 2158 counting only the distinct ones).
The product of its (nonzero) digits is 896, while the sum is 24.
The square root of 40187004 is about 6339.3220457711. The cubic root of 40187004 is about 342.5273148514.
Subtracting from 40187004 its reverse (40078104), we obtain a square (108900 = 3302).
The spelling of 40187004 in words is "forty million, one hundred eighty-seven thousand, four".
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