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85783565 = 572350137
BaseRepresentation
bin1010001110011…
…11010000001101
312222102020221002
411013033100031
5133430033230
612302350045
72061101600
oct507172015
9188366832
1085783565
114447150a
122488b325
1314a06a0a
14b570337
1577e7545
hex51cf40d

85783565 has 12 divisors (see below), whose sum is σ = 119747196. Its totient is φ = 58822848.

The previous prime is 85783487. The next prime is 85783567. The reversal of 85783565 is 56538758.

It can be written as a sum of positive squares in 2 ways, for example, as 44129449 + 41654116 = 6643^2 + 6454^2 .

It is not a de Polignac number, because 85783565 - 218 = 85521421 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85783567) 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 11 ways as a sum of consecutive naturals, for example, 174824 + ... + 175313.

It is an arithmetic number, because the mean of its divisors is an integer number (9978933).

Almost surely, 285783565 is an apocalyptic number.

It is an amenable number.

85783565 is a deficient number, since it is larger than the sum of its proper divisors (33963631).

85783565 is a wasteful number, since it uses less digits than its factorization.

85783565 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350156 (or 350149 counting only the distinct ones).

The product of its digits is 1008000, while the sum is 47.

The square root of 85783565 is about 9261.9417510585. The cubic root of 85783565 is about 441.0298963523.

The spelling of 85783565 in words is "eighty-five million, seven hundred eighty-three thousand, five hundred sixty-five".

Divisors: 1 5 7 35 49 245 350137 1750685 2450959 12254795 17156713 85783565