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42768687 = 3135918587
BaseRepresentation
bin1010001100100…
…1100100101111
32222110212121110
42203021210233
541422044222
64124403103
71026346023
oct243114457
988425543
1042768687
1122161825
12123a6493
138b25b20
145974383
153b4c30c
hex28c992f

42768687 has 16 divisors (see below), whose sum is σ = 62455680. Its totient is φ = 25871712.

The previous prime is 42768679. The next prime is 42768701. The reversal of 42768687 is 78686724.

42768687 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 42768687 - 23 = 42768679 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42768667) 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, 6993 + ... + 11594.

It is an arithmetic number, because the mean of its divisors is an integer number (3903480).

Almost surely, 242768687 is an apocalyptic number.

42768687 is a deficient number, since it is larger than the sum of its proper divisors (19686993).

42768687 is a wasteful number, since it uses less digits than its factorization.

42768687 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18662.

The product of its digits is 903168, while the sum is 48.

The square root of 42768687 is about 6539.7772897859. Note that the first 3 decimals coincide. The cubic root of 42768687 is about 349.7104734895.

The spelling of 42768687 in words is "forty-two million, seven hundred sixty-eight thousand, six hundred eighty-seven".

Divisors: 1 3 13 39 59 177 767 2301 18587 55761 241631 724893 1096633 3289899 14256229 42768687