Base | Representation |
---|---|
bin | 1001100010111… |
… | …1111000110000 |
3 | 2210100100100020 |
4 | 2120233320300 |
5 | 40222321112 |
6 | 3550123440 |
7 | 664231422 |
oct | 230577060 |
9 | 83310306 |
10 | 40042032 |
11 | 2066a198 |
12 | 114b0580 |
13 | 83aca14 |
14 | 5464812 |
15 | 37ae48c |
hex | 262fe30 |
40042032 has 40 divisors (see below), whose sum is σ = 103713600. Its totient is φ = 13312320.
The previous prime is 40042027. The next prime is 40042039. The reversal of 40042032 is 23024004.
It is a happy number.
40042032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is not an unprimeable number, because it can be changed into a prime (40042039) by changing a digit.
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 7 ways as a sum of consecutive naturals, for example, 22719 + ... + 24417.
It is an arithmetic number, because the mean of its divisors is an integer number (2592840).
Almost surely, 240042032 is an apocalyptic number.
It is an amenable number.
40042032 is an abundant number, since it is smaller than the sum of its proper divisors (63671568).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
40042032 is a wasteful number, since it uses less digits than its factorization.
40042032 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2201 (or 2195 counting only the distinct ones).
The product of its (nonzero) digits is 192, while the sum is 15.
The square root of 40042032 is about 6327.8773692290. The cubic root of 40042032 is about 342.1149369165.
Adding to 40042032 its reverse (23024004), we get a palindrome (63066036).
The spelling of 40042032 in words is "forty million, forty-two thousand, thirty-two", and thus it is an eban number.
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