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42005568 = 2631119889
BaseRepresentation
bin1010000000111…
…1010001000000
32221001002210210
42200033101000
541223134233
64100154120
71020020133
oct240172100
987032723
1042005568
1121790450
1212098940
138919687
14581621a
153a4b163
hex280f440

42005568 has 56 divisors (see below), whose sum is σ = 121249440. Its totient is φ = 12728320.

The previous prime is 42005533. The next prime is 42005569. The reversal of 42005568 is 86550024.

It is not an unprimeable number, because it can be changed into a prime (42005569) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7833 + ... + 12056.

Almost surely, 242005568 is an apocalyptic number.

42005568 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

42005568 is an abundant number, since it is smaller than the sum of its proper divisors (79243872).

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

42005568 is a wasteful number, since it uses less digits than its factorization.

42005568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19915 (or 19905 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The square root of 42005568 is about 6481.1702646976. The cubic root of 42005568 is about 347.6180245372.

The spelling of 42005568 in words is "forty-two million, five thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 132 176 192 264 352 528 704 1056 2112 19889 39778 59667 79556 119334 159112 218779 238668 318224 437558 477336 636448 656337 875116 954672 1272896 1312674 1750232 1909344 2625348 3500464 3818688 5250696 7000928 10501392 14001856 21002784 42005568