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57783080 = 23529109457
BaseRepresentation
bin1101110001101…
…1001100101000
311000201200111002
43130123030220
5104243024310
65422254132
71301101535
oct334331450
9130650432
1057783080
112a687313
1217427348
13bc81b94
147961d8c
155115da5
hex371b328

57783080 has 64 divisors (see below), whose sum is σ = 136026000. Its totient is φ = 22063104.

The previous prime is 57783079. The next prime is 57783113. The reversal of 57783080 is 8038775.

57783080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 42588676 + 15194404 = 6526^2 + 3898^2 .

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, 126212 + ... + 126668.

Almost surely, 257783080 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 57783080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68013000).

57783080 is an abundant number, since it is smaller than the sum of its proper divisors (78242920).

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

57783080 is a wasteful number, since it uses less digits than its factorization.

57783080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 606 (or 602 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 38.

The square root of 57783080 is about 7601.5182693986. The cubic root of 57783080 is about 386.6044919187.

The spelling of 57783080 in words is "fifty-seven million, seven hundred eighty-three thousand, eighty".

Divisors: 1 2 4 5 8 10 20 29 40 58 109 116 145 218 232 290 436 457 545 580 872 914 1090 1160 1828 2180 2285 3161 3656 4360 4570 6322 9140 12644 13253 15805 18280 25288 26506 31610 49813 53012 63220 66265 99626 106024 126440 132530 199252 249065 265060 398504 498130 530120 996260 1444577 1992520 2889154 5778308 7222885 11556616 14445770 28891540 57783080