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42567665 = 5747113229
BaseRepresentation
bin1010001001100…
…0011111110001
32222002122212012
42202120133301
541344131130
64120212305
71024550660
oct242303761
988078765
1042567665
1122034798
121230a095
138a8548a
145920dd7
153b0c995
hex28987f1

42567665 has 32 divisors (see below), whose sum is σ = 60410880. Its totient is φ = 28191744.

The previous prime is 42567659. The next prime is 42567667. The reversal of 42567665 is 56676524.

42567665 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 42567665 - 26 = 42567601 is a prime.

It is a super-2 number, since 2×425676652 = 3624012207104450, which contains 22 as substring.

It is a Smith number, since the sum of its digits (41) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is not an unprimeable number, because it can be changed into a prime (42567667) 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, 185771 + ... + 185999.

It is an arithmetic number, because the mean of its divisors is an integer number (1887840).

Almost surely, 242567665 is an apocalyptic number.

It is an amenable number.

42567665 is a deficient number, since it is larger than the sum of its proper divisors (17843215).

42567665 is a wasteful number, since it uses less digits than its factorization.

42567665 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401.

The product of its digits is 302400, while the sum is 41.

The square root of 42567665 is about 6524.3900098017. The cubic root of 42567665 is about 349.1617080791.

The spelling of 42567665 in words is "forty-two million, five hundred sixty-seven thousand, six hundred sixty-five".

Divisors: 1 5 7 35 47 113 229 235 329 565 791 1145 1603 1645 3955 5311 8015 10763 25877 26555 37177 53815 75341 129385 181139 185885 376705 905695 1216219 6081095 8513533 42567665