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42742713 = 3137913873
BaseRepresentation
bin1010001100001…
…1001110111001
32222102112222110
42203003032321
541420231323
64124042533
71026210216
oct243031671
988375873
1042742713
1122144262
1212393449
138b17060
145968b0d
153b44793
hex28c33b9

42742713 has 16 divisors (see below), whose sum is σ = 62155520. Its totient is φ = 25968384.

The previous prime is 42742703. The next prime is 42742747. The reversal of 42742713 is 31724724.

42742713 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 42742713 - 24 = 42742697 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (42742703) 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, 3856 + ... + 10017.

It is an arithmetic number, because the mean of its divisors is an integer number (3884720).

Almost surely, 242742713 is an apocalyptic number.

It is an amenable number.

42742713 is a deficient number, since it is larger than the sum of its proper divisors (19412807).

42742713 is a wasteful number, since it uses less digits than its factorization.

42742713 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13968.

The product of its digits is 9408, while the sum is 30.

The square root of 42742713 is about 6537.7911407447. The cubic root of 42742713 is about 349.6396645253.

The spelling of 42742713 in words is "forty-two million, seven hundred forty-two thousand, seven hundred thirteen".

Divisors: 1 3 13 39 79 237 1027 3081 13873 41619 180349 541047 1095967 3287901 14247571 42742713