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42188084 = 2217620413
BaseRepresentation
bin1010000011101…
…1110100110100
32221101101011122
42200323310310
541300004314
64104123112
71021410221
oct240736464
987341148
1042188084
11218a5594
1212166498
138981783
145862948
153a8528e
hex283bd34

42188084 has 12 divisors (see below), whose sum is σ = 78172164. Its totient is φ = 19853184.

The previous prime is 42188051. The next prime is 42188131. The reversal of 42188084 is 48088124.

42188084 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 35736484 + 6451600 = 5978^2 + 2540^2 .

It is a congruent number.

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, 310139 + ... + 310274.

It is an arithmetic number, because the mean of its divisors is an integer number (6514347).

Almost surely, 242188084 is an apocalyptic number.

It is an amenable number.

42188084 is a deficient number, since it is larger than the sum of its proper divisors (35984080).

42188084 is a wasteful number, since it uses less digits than its factorization.

42188084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 620434 (or 620432 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 35.

The square root of 42188084 is about 6495.2354845687. The cubic root of 42188084 is about 348.1207688471.

The spelling of 42188084 in words is "forty-two million, one hundred eighty-eight thousand, eighty-four".

Divisors: 1 2 4 17 34 68 620413 1240826 2481652 10547021 21094042 42188084