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57350260 = 22511733571
BaseRepresentation
bin1101101011000…
…1100001110100
310222220200202201
43122301201310
5104140202020
65405114244
71264316632
oct332614164
9128820681
1057350260
112a411110
1217258984
13bb5cb86
14788c352
15507ca0a
hex36b1874

57350260 has 48 divisors (see below), whose sum is σ = 133221312. Its totient is φ = 20563200.

The previous prime is 57350257. The next prime is 57350311. The reversal of 57350260 is 6205375.

57350260 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 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 15 ways as a sum of consecutive naturals, for example, 14275 + ... + 17845.

It is an arithmetic number, because the mean of its divisors is an integer number (2775444).

Almost surely, 257350260 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57350260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66610656).

57350260 is an abundant number, since it is smaller than the sum of its proper divisors (75871052).

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

57350260 is a wasteful number, since it uses less digits than its factorization.

57350260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3664 (or 3662 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 28.

The square root of 57350260 is about 7572.9954443404. The cubic root of 57350260 is about 385.6367940218.

The spelling of 57350260 in words is "fifty-seven million, three hundred fifty thousand, two hundred sixty".

Divisors: 1 2 4 5 10 11 20 22 44 55 73 110 146 220 292 365 730 803 1460 1606 3212 3571 4015 7142 8030 14284 16060 17855 35710 39281 71420 78562 157124 196405 260683 392810 521366 785620 1042732 1303415 2606830 2867513 5213660 5735026 11470052 14337565 28675130 57350260