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42477039 = 32111133797
BaseRepresentation
bin1010001000001…
…0010111101111
32221221001112200
42202002113233
541333231124
64114232543
71024022523
oct242022757
987831480
1042477039
1121a826a0
1212285753
138a53157
1458d9d83
153ae0bc9
hex28825ef

42477039 has 24 divisors (see below), whose sum is σ = 67543632. Its totient is φ = 25509120.

The previous prime is 42477031. The next prime is 42477041. The reversal of 42477039 is 93077424.

42477039 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 42477039 - 23 = 42477031 is a prime.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 42476994 and 42477012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42477031) 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 23 ways as a sum of consecutive naturals, for example, 9289 + ... + 13085.

It is an arithmetic number, because the mean of its divisors is an integer number (2814318).

Almost surely, 242477039 is an apocalyptic number.

42477039 is a deficient number, since it is larger than the sum of its proper divisors (25066593).

42477039 is a wasteful number, since it uses less digits than its factorization.

42477039 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3927 (or 3924 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 42477039 is about 6517.4411389747. The cubic root of 42477039 is about 348.9137451282.

The spelling of 42477039 in words is "forty-two million, four hundred seventy-seven thousand, thirty-nine".

Divisors: 1 3 9 11 33 99 113 339 1017 1243 3729 3797 11187 11391 34173 41767 125301 375903 429061 1287183 3861549 4719671 14159013 42477039