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57379218 = 2313271797
BaseRepresentation
bin1101101011100…
…0100110010010
310222222011111020
43122320212102
5104142113333
65405500310
71264500231
oct332704622
9128864436
1057379218
112a430946
1217271696
13bb70100
147898b18
1550863b3
hex36b8992

57379218 has 48 divisors (see below), whose sum is σ = 126173376. Its totient is φ = 17384640.

The previous prime is 57379207. The next prime is 57379229. The reversal of 57379218 is 81297375.

57379218 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (57379207) and next prime (57379229).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 57379218.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 71596 + ... + 72392.

It is an arithmetic number, because the mean of its divisors is an integer number (2628612).

Almost surely, 257379218 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57379218, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63086688).

57379218 is an abundant number, since it is smaller than the sum of its proper divisors (68794158).

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

57379218 is a wasteful number, since it uses less digits than its factorization.

57379218 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 899 (or 886 counting only the distinct ones).

The product of its digits is 105840, while the sum is 42.

The square root of 57379218 is about 7574.9071281436. The cubic root of 57379218 is about 385.7016899277.

The spelling of 57379218 in words is "fifty-seven million, three hundred seventy-nine thousand, two hundred eighteen".

Divisors: 1 2 3 6 13 26 39 71 78 142 169 213 338 426 507 797 923 1014 1594 1846 2391 2769 4782 5538 10361 11999 20722 23998 31083 35997 56587 62166 71994 113174 134693 169761 269386 339522 404079 735631 808158 1471262 2206893 4413786 9563203 19126406 28689609 57379218