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57800193 = 31110916069
BaseRepresentation
bin1101110001111…
…1011000000001
311000202112221220
43130133120001
5104244101233
65422505253
71301202453
oct334373001
9130675856
1057800193
112a699160
1217435229
13bc898c9
1479682d3
15511aeb3
hex371f601

57800193 has 16 divisors (see below), whose sum is σ = 84849600. Its totient is φ = 34706880.

The previous prime is 57800191. The next prime is 57800207. The reversal of 57800193 is 39100875.

57800193 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 57800193 - 21 = 57800191 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (57800191) 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 15 ways as a sum of consecutive naturals, for example, 4438 + ... + 11631.

It is an arithmetic number, because the mean of its divisors is an integer number (5303100).

Almost surely, 257800193 is an apocalyptic number.

It is an amenable number.

57800193 is a deficient number, since it is larger than the sum of its proper divisors (27049407).

57800193 is a wasteful number, since it uses less digits than its factorization.

57800193 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16192.

The product of its (nonzero) digits is 7560, while the sum is 33.

The square root of 57800193 is about 7602.6438164628. The cubic root of 57800193 is about 386.6426536647.

The spelling of 57800193 in words is "fifty-seven million, eight hundred thousand, one hundred ninety-three".

Divisors: 1 3 11 33 109 327 1199 3597 16069 48207 176759 530277 1751521 5254563 19266731 57800193