Base | Representation |
---|---|
bin | 1101101101111… |
… | …0110000010000 |
3 | 11000021002212121 |
4 | 3123132300100 |
5 | 104212114004 |
6 | 5413104024 |
7 | 1266020665 |
oct | 333366020 |
9 | 130232777 |
10 | 57535504 |
11 | 2a528304 |
12 | 17328014 |
13 | bbc62a0 |
14 | 78d9a6c |
15 | 50b7854 |
hex | 36dec10 |
57535504 has 40 divisors (see below), whose sum is σ = 123936512. Its totient is φ = 25695360.
The previous prime is 57535501. The next prime is 57535523. The reversal of 57535504 is 40553575.
57535504 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a self number, because there is not a number n which added to its sum of digits gives 57535504.
It is not an unprimeable number, because it can be changed into a prime (57535501) 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, 1987 + ... + 10909.
Almost surely, 257535504 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 57535504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61968256).
57535504 is an abundant number, since it is smaller than the sum of its proper divisors (66401008).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
57535504 is a wasteful number, since it uses less digits than its factorization.
57535504 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 8975 (or 8969 counting only the distinct ones).
The product of its (nonzero) digits is 52500, while the sum is 34.
The square root of 57535504 is about 7585.2161472169. The cubic root of 57535504 is about 386.0515560191.
The spelling of 57535504 in words is "fifty-seven million, five hundred thirty-five thousand, five hundred four".
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