Base | Representation |
---|---|
bin | 1101101011001… |
… | …1010100001001 |
3 | 10222221001210201 |
4 | 3122303110021 |
5 | 104140420302 |
6 | 5405212201 |
7 | 1264350154 |
oct | 332632411 |
9 | 128831721 |
10 | 57357577 |
11 | 2a416662 |
12 | 17261061 |
13 | bb632c4 |
14 | 7890c9b |
15 | 507ec87 |
hex | 36b3509 |
57357577 has 2 divisors, whose sum is σ = 57357578. Its totient is φ = 57357576.
The previous prime is 57357551. The next prime is 57357583. The reversal of 57357577 is 77575375.
It is a happy number.
57357577 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a strong prime.
It can be written as a sum of positive squares in only one way, i.e., 41525136 + 15832441 = 6444^2 + 3979^2 .
It is a cyclic number.
It is a de Polignac number, because none of the positive numbers 2k-57357577 is a prime.
It is a Chen prime.
It is not a weakly prime, because it can be changed into another prime (57357527) 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 as a sum of consecutive naturals, namely, 28678788 + 28678789.
It is an arithmetic number, because the mean of its divisors is an integer number (28678789).
Almost surely, 257357577 is an apocalyptic number.
It is an amenable number.
57357577 is a deficient number, since it is larger than the sum of its proper divisors (1).
57357577 is an equidigital number, since it uses as much as digits as its factorization.
57357577 is an odious number, because the sum of its binary digits is odd.
The product of its digits is 900375, while the sum is 46.
The square root of 57357577 is about 7573.4785270706. The cubic root of 57357577 is about 385.6531937407.
The spelling of 57357577 in words is "fifty-seven million, three hundred fifty-seven thousand, five hundred seventy-seven".
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