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57480668 = 2272922441
BaseRepresentation
bin1101101101000…
…1010111011100
311000011022122122
43123101113130
5104203340133
65412002112
71265402060
oct333212734
9130138578
1057480668
112a4a0093
1217300338
13bba733b
1478c3aa0
1550a6498
hex36d15dc

57480668 has 36 divisors (see below), whose sum is σ = 119110992. Its totient is φ = 23775360.

The previous prime is 57480629. The next prime is 57480743. The reversal of 57480668 is 86608475.

It is a Smith number, since the sum of its digits (44) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22328 + ... + 24768.

Almost surely, 257480668 is an apocalyptic number.

57480668 is a gapful number since it is divisible by the number (58) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57480668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59555496).

57480668 is an abundant number, since it is smaller than the sum of its proper divisors (61630324).

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

57480668 is a wasteful number, since it uses less digits than its factorization.

57480668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2510 (or 2479 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 44.

The square root of 57480668 is about 7581.6006225599. The cubic root of 57480668 is about 385.9288708906.

The spelling of 57480668 in words is "fifty-seven million, four hundred eighty thousand, six hundred sixty-eight".

Divisors: 1 2 4 7 14 28 29 58 116 203 406 812 841 1682 2441 3364 4882 5887 9764 11774 17087 23548 34174 68348 70789 141578 283156 495523 991046 1982092 2052881 4105762 8211524 14370167 28740334 57480668