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42879767 = 761137733
BaseRepresentation
bin1010001110010…
…0101100010111
32222200111222112
42203210230113
541434123032
64131021235
71030320620
oct243445427
988614875
1042879767
1122228227
121243a81b
138b64558
1459a2a47
153b701b2
hex28e4b17

42879767 has 16 divisors (see below), whose sum is σ = 50240832. Its totient is φ = 35838720.

The previous prime is 42879737. The next prime is 42879773. The reversal of 42879767 is 76797824.

42879767 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 42879767 - 28 = 42879511 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42879737) 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, 58133 + ... + 58865.

It is an arithmetic number, because the mean of its divisors is an integer number (3140052).

Almost surely, 242879767 is an apocalyptic number.

42879767 is a deficient number, since it is larger than the sum of its proper divisors (7361065).

42879767 is a wasteful number, since it uses less digits than its factorization.

42879767 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 938.

The product of its digits is 1185408, while the sum is 50.

The square root of 42879767 is about 6548.2644265485. The cubic root of 42879767 is about 350.0129709479.

The spelling of 42879767 in words is "forty-two million, eight hundred seventy-nine thousand, seven hundred sixty-seven".

Divisors: 1 7 61 137 427 733 959 5131 8357 44713 58499 100421 312991 702947 6125681 42879767