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42595940 = 2252129797
BaseRepresentation
bin1010001001111…
…1011001100100
32222011002122102
42202133121210
541401032230
64120551232
71025026262
oct242373144
988132572
1042595940
1122053a62
1212322518
138a952ca
14592b432
153b16045
hex289f664

42595940 has 12 divisors (see below), whose sum is σ = 89451516. Its totient is φ = 17038368.

The previous prime is 42595933. The next prime is 42595957. The reversal of 42595940 is 4959524.

42595940 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 26977636 + 15618304 = 5194^2 + 3952^2 .

It is a junction number, because it is equal to n+sod(n) for n = 42595894 and 42595903.

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, 1064879 + ... + 1064918.

It is an arithmetic number, because the mean of its divisors is an integer number (7454293).

Almost surely, 242595940 is an apocalyptic number.

It is an amenable number.

42595940 is an abundant number, since it is smaller than the sum of its proper divisors (46855576).

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

42595940 is a wasteful number, since it uses less digits than its factorization.

42595940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2129806 (or 2129804 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 38.

The square root of 42595940 is about 6526.5565193293. The cubic root of 42595940 is about 349.2389996274.

The spelling of 42595940 in words is "forty-two million, five hundred ninety-five thousand, nine hundred forty".

Divisors: 1 2 4 5 10 20 2129797 4259594 8519188 10648985 21297970 42595940