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57380328 = 23322927481
BaseRepresentation
bin1101101011100…
…0110111101000
310222222020000100
43122320313220
5104142132303
65405505400
71264503405
oct332706750
9128866010
1057380328
112a431765
1217272260
13bb70775
1478992ac
1550868a3
hex36b8de8

57380328 has 48 divisors (see below), whose sum is σ = 160769700. Its totient is φ = 18466560.

The previous prime is 57380311. The next prime is 57380329. The reversal of 57380328 is 82308375.

57380328 is a `hidden beast` number, since 573 + 80 + 3 + 2 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 52099524 + 5280804 = 7218^2 + 2298^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 57380292 and 57380301.

It is not an unprimeable number, because it can be changed into a prime (57380329) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11653 + ... + 15828.

Almost surely, 257380328 is an apocalyptic number.

57380328 is a gapful number since it is divisible by the number (58) formed by its first and last digit.

It is an amenable number.

57380328 is an abundant number, since it is smaller than the sum of its proper divisors (103389372).

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

57380328 is a wasteful number, since it uses less digits than its factorization.

57380328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27522 (or 27515 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 57380328 is about 7574.9803960142. The cubic root of 57380328 is about 385.7041770425.

The spelling of 57380328 in words is "fifty-seven million, three hundred eighty thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 29 36 58 72 87 116 174 232 261 348 522 696 1044 2088 27481 54962 82443 109924 164886 219848 247329 329772 494658 659544 796949 989316 1593898 1978632 2390847 3187796 4781694 6375592 7172541 9563388 14345082 19126776 28690164 57380328