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42640960 = 265133253
BaseRepresentation
bin1010001010101…
…0011001000000
32222020101101211
42202222121000
541404002320
64121535504
71025304445
oct242523100
988211354
1042640960
112208486a
1212344594
138aac94b
14593d9cc
153b2455a
hex28aa640

42640960 has 28 divisors (see below), whose sum is σ = 101539548. Its totient is φ = 17056256.

The previous prime is 42640957. The next prime is 42641009. The reversal of 42640960 is 6904624.

It can be written as a sum of positive squares in 2 ways, for example, as 29333056 + 13307904 = 5416^2 + 3648^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 66307 + ... + 66946.

Almost surely, 242640960 is an apocalyptic number.

42640960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42640960 is an abundant number, since it is smaller than the sum of its proper divisors (58898588).

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

42640960 is a wasteful number, since it uses less digits than its factorization.

42640960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133270 (or 133260 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 31.

The square root of 42640960 is about 6530.0045941791. The cubic root of 42640960 is about 349.3619941651.

The spelling of 42640960 in words is "forty-two million, six hundred forty thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 133253 266506 533012 666265 1066024 1332530 2132048 2665060 4264096 5330120 8528192 10660240 21320480 42640960