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42032979 = 331997823
BaseRepresentation
bin1010000001010…
…1111101010011
32221002111102000
42200111331103
541230023404
64100525043
71020163062
oct240257523
987074360
1042032979
11217a9aaa
12120b0783
138928cb1
1458221d9
153a54339
hex2815f53

42032979 has 16 divisors (see below), whose sum is σ = 62592000. Its totient is φ = 27877608.

The previous prime is 42032953. The next prime is 42032989. The reversal of 42032979 is 97923024.

42032979 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 42032979 - 29 = 42032467 is a prime.

It is a super-2 number, since 2×420329792 = 3533542647228882, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (42032989) 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 15 ways as a sum of consecutive naturals, for example, 1462 + ... + 9284.

It is an arithmetic number, because the mean of its divisors is an integer number (3912000).

Almost surely, 242032979 is an apocalyptic number.

42032979 is a deficient number, since it is larger than the sum of its proper divisors (20559021).

42032979 is a wasteful number, since it uses less digits than its factorization.

42032979 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8031 (or 8025 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 42032979 is about 6483.2845842212. The cubic root of 42032979 is about 347.6936215452.

The spelling of 42032979 in words is "forty-two million, thirty-two thousand, nine hundred seventy-nine".

Divisors: 1 3 9 27 199 597 1791 5373 7823 23469 70407 211221 1556777 4670331 14010993 42032979