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57482568 = 233311131861
BaseRepresentation
bin1101101101000…
…1110101001000
311000011102021000
43123101311020
5104203420233
65412015000
71265410443
oct333216510
9130142230
1057482568
112a4a1560
1217301460
13bba8170
1478c465a
1550a6d13
hex36d1d48

57482568 has 128 divisors (see below), whose sum is σ = 187689600. Its totient is φ = 16070400.

The previous prime is 57482539. The next prime is 57482603. The reversal of 57482568 is 86528475.

57482568 is a `hidden beast` number, since 5 + 7 + 4 + 82 + 568 = 666.

57482568 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 29958 + ... + 31818.

It is an arithmetic number, because the mean of its divisors is an integer number (1466325).

Almost surely, 257482568 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 57482568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93844800).

57482568 is an abundant number, since it is smaller than the sum of its proper divisors (130207032).

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

57482568 is a wasteful number, since it uses less digits than its factorization.

57482568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1900 (or 1890 counting only the distinct ones).

The product of its digits is 537600, while the sum is 45.

The square root of 57482568 is about 7581.7259248802. The cubic root of 57482568 is about 385.9331230841.

The spelling of 57482568 in words is "fifty-seven million, four hundred eighty-two thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 13 18 22 24 26 27 33 36 39 44 52 54 66 72 78 88 99 104 108 117 132 143 156 198 216 234 264 286 297 312 351 396 429 468 572 594 702 792 858 936 1144 1188 1287 1404 1716 1861 2376 2574 2808 3432 3722 3861 5148 5583 7444 7722 10296 11166 14888 15444 16749 20471 22332 24193 30888 33498 40942 44664 48386 50247 61413 66996 72579 81884 96772 100494 122826 133992 145158 163768 184239 193544 200988 217737 245652 266123 290316 368478 401976 435474 491304 532246 552717 580632 653211 736956 798369 870948 1064492 1105434 1306422 1473912 1596738 1741896 2128984 2210868 2395107 2612844 3193476 4421736 4790214 5225688 6386952 7185321 9580428 14370642 19160856 28741284 57482568