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57892480 = 275172313
BaseRepresentation
bin1101110011010…
…1111010000000
311000221020112221
43130311322000
5104310024410
65424500424
71302035512
oct334657200
9130836487
1057892480
112a751528
121747a714
13bcbc909
14798dbb2
1551384da
hex3735e80

57892480 has 96 divisors (see below), whose sum is σ = 147488940. Its totient is φ = 21725184.

The previous prime is 57892459. The next prime is 57892517. The reversal of 57892480 is 8429875.

57892480 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 6 ways, for example, as 21603904 + 36288576 = 4648^2 + 6024^2 .

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 11 ways as a sum of consecutive naturals, for example, 184804 + ... + 185116.

Almost surely, 257892480 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 57892480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73744470).

57892480 is an abundant number, since it is smaller than the sum of its proper divisors (89596460).

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

57892480 is a wasteful number, since it uses less digits than its factorization.

57892480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366 (or 337 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 43.

The square root of 57892480 is about 7608.7107975005. The cubic root of 57892480 is about 386.8483226246.

The spelling of 57892480 in words is "fifty-seven million, eight hundred ninety-two thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 64 68 80 85 128 136 160 170 272 289 313 320 340 544 578 626 640 680 1088 1156 1252 1360 1445 1565 2176 2312 2504 2720 2890 3130 4624 5008 5321 5440 5780 6260 9248 10016 10642 10880 11560 12520 18496 20032 21284 23120 25040 26605 36992 40064 42568 46240 50080 53210 85136 90457 92480 100160 106420 170272 180914 184960 200320 212840 340544 361828 425680 452285 681088 723656 851360 904570 1447312 1702720 1809140 2894624 3405440 3618280 5789248 7236560 11578496 14473120 28946240 57892480