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57002337 = 3272196803
BaseRepresentation
bin1101100101110…
…0100101100001
310222021000111200
43121130211201
5104043033322
65353431413
71261340400
oct331344541
9128230450
1057002337
112a1a3777
121710b569
13ba6a6c2
1477db637
15500e8ac
hex365c961

57002337 has 36 divisors (see below), whose sum is σ = 100835280. Its totient is φ = 30853872.

The previous prime is 57002333. The next prime is 57002339. The reversal of 57002337 is 73320075.

57002337 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 57002337 - 22 = 57002333 is a prime.

57002337 is a modest number, since divided by 2337 gives 570 as remainder.

It is a self number, because there is not a number n which added to its sum of digits gives 57002337.

It is not an unprimeable number, because it can be changed into a prime (57002333) 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 35 ways as a sum of consecutive naturals, for example, 4978 + ... + 11780.

It is an arithmetic number, because the mean of its divisors is an integer number (2800980).

Almost surely, 257002337 is an apocalyptic number.

57002337 is a gapful number since it is divisible by the number (57) formed by its first and last digit.

It is an amenable number.

57002337 is a deficient number, since it is larger than the sum of its proper divisors (43832943).

57002337 is a wasteful number, since it uses less digits than its factorization.

57002337 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6842 (or 6832 counting only the distinct ones).

The product of its (nonzero) digits is 4410, while the sum is 27.

The square root of 57002337 is about 7549.9892052903. The cubic root of 57002337 is about 384.8553726740.

The spelling of 57002337 in words is "fifty-seven million, two thousand, three hundred thirty-seven".

Divisors: 1 3 7 9 19 21 49 57 63 133 147 171 399 441 931 1197 2793 6803 8379 20409 47621 61227 129257 142863 333347 387771 428589 904799 1000041 1163313 2714397 3000123 6333593 8143191 19000779 57002337