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42659617 = 71113192243
BaseRepresentation
bin1010001010111…
…0111100100001
32222021022222211
42202232330201
541410101432
64122202121
71025413030
oct242567441
988238884
1042659617
1122097890
1212353341
138ab82a0
145946717
153b29d47
hex28aef21

42659617 has 32 divisors (see below), whose sum is σ = 60318720. Its totient is φ = 29056320.

The previous prime is 42659587. The next prime is 42659621. The reversal of 42659617 is 71695624.

42659617 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 42659617 - 219 = 42135329 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 42659617.

It is not an unprimeable number, because it can be changed into a prime (42659017) 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 31 ways as a sum of consecutive naturals, for example, 17898 + ... + 20140.

It is an arithmetic number, because the mean of its divisors is an integer number (1884960).

Almost surely, 242659617 is an apocalyptic number.

It is an amenable number.

42659617 is a deficient number, since it is larger than the sum of its proper divisors (17659103).

42659617 is a wasteful number, since it uses less digits than its factorization.

42659617 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2293.

The product of its digits is 90720, while the sum is 40.

The square root of 42659617 is about 6531.4329974363. The cubic root of 42659617 is about 349.4129396749.

The spelling of 42659617 in words is "forty-two million, six hundred fifty-nine thousand, six hundred seventeen".

Divisors: 1 7 11 13 19 77 91 133 143 209 247 1001 1463 1729 2243 2717 15701 19019 24673 29159 42617 172711 204113 298319 320749 468787 554021 2245243 3281509 3878147 6094231 42659617