Base | Representation |
---|---|
bin | 1101110100110… |
… | …1110110000000 |
3 | 11001010020001100 |
4 | 3131031312000 |
5 | 104321144103 |
6 | 5430534400 |
7 | 1302624411 |
oct | 335156600 |
9 | 131106040 |
10 | 57990528 |
11 | 2a809162 |
12 | 17507400 |
13 | c02542b |
14 | 79b7808 |
15 | 51575a3 |
hex | 374dd80 |
57990528 has 96 divisors (see below), whose sum is σ = 169462800. Its totient is φ = 19031040.
The previous prime is 57990511. The next prime is 57990529. The reversal of 57990528 is 82509975.
It is a happy number.
57990528 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (96).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (57990529) 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 11 ways as a sum of consecutive naturals, for example, 81438 + ... + 82146.
Almost surely, 257990528 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 57990528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84731400).
57990528 is an abundant number, since it is smaller than the sum of its proper divisors (111472272).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
57990528 is a wasteful number, since it uses less digits than its factorization.
57990528 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 800 (or 785 counting only the distinct ones).
The product of its (nonzero) digits is 226800, while the sum is 45.
The square root of 57990528 is about 7615.1512132065. The cubic root of 57990528 is about 387.0665911090.
The spelling of 57990528 in words is "fifty-seven million, nine hundred ninety thousand, five hundred twenty-eight".
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