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57003201 = 3224772557
BaseRepresentation
bin1101100101110…
…0110011000001
310222021001200200
43121130303001
5104043100301
65353435413
71261343043
oct331346301
9128231620
1057003201
112a1a4392
121710bb69
13ba6ac08
1477dba93
15500ec86
hex365ccc1

57003201 has 12 divisors (see below), whose sum is σ = 82403412. Its totient is φ = 37971936.

The previous prime is 57003181. The next prime is 57003239. The reversal of 57003201 is 10230075.

57003201 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 2 ways, for example, as 26532801 + 30470400 = 5151^2 + 5520^2 .

It is not a de Polignac number, because 57003201 - 26 = 57003137 is a prime.

It is not an unprimeable number, because it can be changed into a prime (57003101) 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, 21015 + ... + 23571.

It is an arithmetic number, because the mean of its divisors is an integer number (6866951).

Almost surely, 257003201 is an apocalyptic number.

It is an amenable number.

57003201 is a deficient number, since it is larger than the sum of its proper divisors (25400211).

57003201 is a wasteful number, since it uses less digits than its factorization.

57003201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5040 (or 5037 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 18.

The square root of 57003201 is about 7550.0464236983. The cubic root of 57003201 is about 384.8573171169.

Adding to 57003201 its reverse (10230075), we get a palindrome (67233276).

The spelling of 57003201 in words is "fifty-seven million, three thousand, two hundred one".

Divisors: 1 3 9 2477 2557 7431 7671 22293 23013 6333689 19001067 57003201