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42710440 = 2351067761
BaseRepresentation
bin1010001011101…
…1010110101000
32222100220201011
42202323112220
541413213230
64123233304
71026014143
oct242732650
988326634
1042710440
1122121a93
1212378834
138b05466
14595b05a
153b39e2a
hex28bb5a8

42710440 has 16 divisors (see below), whose sum is σ = 96098580. Its totient is φ = 17084160.

The previous prime is 42710429. The next prime is 42710453. The reversal of 42710440 is 4401724.

42710440 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 2 ways, for example, as 40525956 + 2184484 = 6366^2 + 1478^2 .

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 3 ways as a sum of consecutive naturals, for example, 533841 + ... + 533920.

Almost surely, 242710440 is an apocalyptic number.

42710440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42710440 is an abundant number, since it is smaller than the sum of its proper divisors (53388140).

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

42710440 is a wasteful number, since it uses less digits than its factorization.

42710440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1067772 (or 1067768 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 22.

The square root of 42710440 is about 6535.3224863047. The cubic root of 42710440 is about 349.5516435795.

The spelling of 42710440 in words is "forty-two million, seven hundred ten thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 1067761 2135522 4271044 5338805 8542088 10677610 21355220 42710440