Base | Representation |
---|---|
bin | 1101100101110… |
… | …0001101110000 |
3 | 10222020221102100 |
4 | 3121130031300 |
5 | 104043011231 |
6 | 5353420400 |
7 | 1261333065 |
oct | 331341560 |
9 | 128227370 |
10 | 57000816 |
11 | 2a1a2614 |
12 | 1710a700 |
13 | ba69ac2 |
14 | 77dac6c |
15 | 500e1e6 |
hex | 365c370 |
57000816 has 90 divisors (see below), whose sum is σ = 166139168. Its totient is φ = 18224640.
The previous prime is 57000799. The next prime is 57000841. The reversal of 57000816 is 61800075.
57000816 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 57000816.
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 17 ways as a sum of consecutive naturals, for example, 504376 + ... + 504488.
Almost surely, 257000816 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 57000816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83069584).
57000816 is an abundant number, since it is smaller than the sum of its proper divisors (109138352).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
57000816 is a wasteful number, since it uses less digits than its factorization.
57000816 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 271 (or 149 counting only the distinct ones).
The product of its (nonzero) digits is 1680, while the sum is 27.
The square root of 57000816 is about 7549.8884759975. Note that the first 3 decimals coincide. The cubic root of 57000816 is about 384.8519495966.
The spelling of 57000816 in words is "fifty-seven million, eight hundred sixteen", and thus it is an aban number.
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