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42327940 = 2252116397
BaseRepresentation
bin1010000101110…
…1111110000100
32221122111000111
42201131332010
541313443230
64111122404
71022532034
oct241357604
987574014
1042327940
1121990676
1212213404
138a00325
14589b8c4
153ab192a
hex285df84

42327940 has 12 divisors (see below), whose sum is σ = 88888716. Its totient is φ = 16931168.

The previous prime is 42327937. The next prime is 42327947. The reversal of 42327940 is 4972324.

42327940 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 10810944 + 31516996 = 3288^2 + 5614^2 .

It is a zygodrome in base 3.

It is not an unprimeable number, because it can be changed into a prime (42327947) by changing a digit.

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, 1058179 + ... + 1058218.

It is an arithmetic number, because the mean of its divisors is an integer number (7407393).

Almost surely, 242327940 is an apocalyptic number.

It is an amenable number.

42327940 is an abundant number, since it is smaller than the sum of its proper divisors (46560776).

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

42327940 is a wasteful number, since it uses less digits than its factorization.

42327940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2116406 (or 2116404 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 31.

The square root of 42327940 is about 6505.9926221907. The cubic root of 42327940 is about 348.5050248791.

The spelling of 42327940 in words is "forty-two million, three hundred twenty-seven thousand, nine hundred forty".

Divisors: 1 2 4 5 10 20 2116397 4232794 8465588 10581985 21163970 42327940