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42584382 = 23222910331
BaseRepresentation
bin1010001001110…
…0100100111110
32222010111210100
42202130210332
541400200012
64120421530
71024650501
oct242344476
988114710
1042584382
1122046305
12123178a6
138a8cc79
145927138
153b128dc
hex289c93e

42584382 has 24 divisors (see below), whose sum is σ = 92678040. Its totient is φ = 14131440.

The previous prime is 42584357. The next prime is 42584393. The reversal of 42584382 is 28348524.

42584382 is a `hidden beast` number, since 42 + 584 + 38 + 2 = 666.

42584382 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 11 ways as a sum of consecutive naturals, for example, 1044 + ... + 9287.

It is an arithmetic number, because the mean of its divisors is an integer number (3861585).

Almost surely, 242584382 is an apocalyptic number.

42584382 is an abundant number, since it is smaller than the sum of its proper divisors (50093658).

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

42584382 is a wasteful number, since it uses less digits than its factorization.

42584382 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10568 (or 10565 counting only the distinct ones).

The product of its digits is 61440, while the sum is 36.

The square root of 42584382 is about 6525.6709999815. The cubic root of 42584382 is about 349.2074092184.

The spelling of 42584382 in words is "forty-two million, five hundred eighty-four thousand, three hundred eighty-two".

Divisors: 1 2 3 6 9 18 229 458 687 1374 2061 4122 10331 20662 30993 61986 92979 185958 2365799 4731598 7097397 14194794 21292191 42584382