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57478260 = 223571071279
BaseRepresentation
bin1101101101000…
…0110001110100
311000011012100110
43123100301310
5104203301020
65411543020
71265362050
oct333206164
9130135313
1057478260
112a4992a4
12172baa70
13bba6208
1478c2c60
1550a58e0
hex36d0c74

57478260 has 96 divisors (see below), whose sum is σ = 185794560. Its totient is φ = 13004928.

The previous prime is 57478231. The next prime is 57478271. The reversal of 57478260 is 6287475.

57478260 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 31 ways as a sum of consecutive naturals, for example, 44301 + ... + 45579.

It is an arithmetic number, because the mean of its divisors is an integer number (1935360).

Almost surely, 257478260 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 57478260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92897280).

57478260 is an abundant number, since it is smaller than the sum of its proper divisors (128316300).

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

57478260 is a wasteful number, since it uses less digits than its factorization.

57478260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1405 (or 1403 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 39.

The square root of 57478260 is about 7581.4418153805. The cubic root of 57478260 is about 385.9234816601.

The spelling of 57478260 in words is "fifty-seven million, four hundred seventy-eight thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 107 140 210 214 321 420 428 535 642 749 1070 1279 1284 1498 1605 2140 2247 2558 2996 3210 3745 3837 4494 5116 6395 6420 7490 7674 8953 8988 11235 12790 14980 15348 17906 19185 22470 25580 26859 35812 38370 44765 44940 53718 76740 89530 107436 134295 136853 179060 268590 273706 410559 537180 547412 684265 821118 957971 1368530 1642236 1915942 2052795 2737060 2873913 3831884 4105590 4789855 5747826 8211180 9579710 11495652 14369565 19159420 28739130 57478260