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42288765 = 3513121521
BaseRepresentation
bin1010000101010…
…0011001111101
32221120111021120
42201110121331
541311220030
64110221153
71022306601
oct241243175
987514246
1042288765
11219641a2
12121b47b9
1389b854c
14588b501
153aa5010
hex285467d

42288765 has 16 divisors (see below), whose sum is σ = 68181696. Its totient is φ = 22380800.

The previous prime is 42288761. The next prime is 42288769. The reversal of 42288765 is 56788224.

It is a happy number.

42288765 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (42288761) and next prime (42288769).

It is not a de Polignac number, because 42288765 - 22 = 42288761 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42288761) 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, 8796 + ... + 12725.

It is an arithmetic number, because the mean of its divisors is an integer number (4261356).

Almost surely, 242288765 is an apocalyptic number.

It is an amenable number.

42288765 is a deficient number, since it is larger than the sum of its proper divisors (25892931).

42288765 is a wasteful number, since it uses less digits than its factorization.

42288765 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21660.

The product of its digits is 215040, while the sum is 42.

The square root of 42288765 is about 6502.9812394009. The cubic root of 42288765 is about 348.3974765440.

The spelling of 42288765 in words is "forty-two million, two hundred eighty-eight thousand, seven hundred sixty-five".

Divisors: 1 3 5 15 131 393 655 1965 21521 64563 107605 322815 2819251 8457753 14096255 42288765