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42525760 = 265132893
BaseRepresentation
bin1010001000111…
…0010001000000
32222000112101011
42202032101000
541341311020
64115250304
71024314544
oct242162100
988015334
1042525760
1122006262
12122a9994
138a6c394
14590da24
153b0035a
hex288e440

42525760 has 28 divisors (see below), whose sum is σ = 101265228. Its totient is φ = 17010176.

The previous prime is 42525757. The next prime is 42525767. The reversal of 42525760 is 6752524.

It can be written as a sum of positive squares in 2 ways, for example, as 29680704 + 12845056 = 5448^2 + 3584^2 .

It is not an unprimeable number, because it can be changed into a prime (42525767) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 66127 + ... + 66766.

Almost surely, 242525760 is an apocalyptic number.

42525760 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42525760 is an abundant number, since it is smaller than the sum of its proper divisors (58739468).

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

42525760 is a wasteful number, since it uses less digits than its factorization.

42525760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132910 (or 132900 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 31.

The square root of 42525760 is about 6521.1778077277. The cubic root of 42525760 is about 349.0470950641.

The spelling of 42525760 in words is "forty-two million, five hundred twenty-five thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 132893 265786 531572 664465 1063144 1328930 2126288 2657860 4252576 5315720 8505152 10631440 21262880 42525760