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57198258 = 23313591381
BaseRepresentation
bin1101101000110…
…0011010110010
310222121222021000
43122030122302
5104120321013
65401542430
71263114525
oct332143262
9128558230
1057198258
112a317997
12171a4a16
13bb08930
14784cbbc
15504c973
hex368c6b2

57198258 has 64 divisors (see below), whose sum is σ = 139305600. Its totient is φ = 17288640.

The previous prime is 57198247. The next prime is 57198259. The reversal of 57198258 is 85289175.

It is a happy number.

57198258 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57198259) 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 31 ways as a sum of consecutive naturals, for example, 40728 + ... + 42108.

It is an arithmetic number, because the mean of its divisors is an integer number (2176650).

Almost surely, 257198258 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57198258, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69652800).

57198258 is an abundant number, since it is smaller than the sum of its proper divisors (82107342).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

57198258 is a wasteful number, since it uses less digits than its factorization.

57198258 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1464 (or 1458 counting only the distinct ones).

The product of its digits is 201600, while the sum is 45.

The square root of 57198258 is about 7562.9529946972. The cubic root of 57198258 is about 385.2957933747.

The spelling of 57198258 in words is "fifty-seven million, one hundred ninety-eight thousand, two hundred fifty-eight".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 59 78 117 118 177 234 351 354 531 702 767 1062 1381 1534 1593 2301 2762 3186 4143 4602 6903 8286 12429 13806 17953 20709 24858 35906 37287 41418 53859 74574 81479 107718 161577 162958 244437 323154 484731 488874 733311 969462 1059227 1466622 2118454 2199933 3177681 4399866 6355362 9533043 19066086 28599129 57198258