| Base | Representation |
|---|---|
| bin | 1101101000111… |
| … | …0001111000100 |
| 3 | 10222122100110122 |
| 4 | 3122032033010 |
| 5 | 104121040300 |
| 6 | 5402041112 |
| 7 | 1263145316 |
| oct | 332161704 |
| 9 | 128570418 |
| 10 | 57205700 |
| 11 | 2a322542 |
| 12 | 171a9198 |
| 13 | bb0c136 |
| 14 | 78517b6 |
| 15 | 504ec85 |
| hex | 368e3c4 |
57205700 has 36 divisors (see below), whose sum is σ = 127499652. Its totient is φ = 22262400.
The previous prime is 57205691. The next prime is 57205703. The reversal of 57205700 is 750275.
57205700 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in 6 ways, for example, as 293764 + 56911936 = 542^2 + 7544^2 .
It is a super-2 number, since 2×572057002 = 6544984224980000, which contains 22 as substring.
It is a self number, because there is not a number n which added to its sum of digits gives 57205700.
It is not an unprimeable number, because it can be changed into a prime (57205703) 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, 4031 + ... + 11430.
It is an arithmetic number, because the mean of its divisors is an integer number (3541657).
Almost surely, 257205700 is an apocalyptic number.
57205700 is a gapful number since it is divisible by the number (50) formed by its first and last digit.
It is an amenable number.
57205700 is an abundant number, since it is smaller than the sum of its proper divisors (70293952).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
57205700 is a wasteful number, since it uses less digits than its factorization.
57205700 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 15512 (or 15505 counting only the distinct ones).
The product of its (nonzero) digits is 2450, while the sum is 26.
The square root of 57205700 is about 7563.4449822816. Note that the first 3 decimals coincide. The cubic root of 57205700 is about 385.3125027818.
Adding to 57205700 its reverse (750275), we get a palindrome (57955975).
The spelling of 57205700 in words is "fifty-seven million, two hundred five thousand, seven hundred".
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