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85765653 = 3282311579
BaseRepresentation
bin1010001110010…
…10111000010101
312222101100100200
411013022320111
5133424000103
612302131113
72060665431
oct507127025
9188340320
1085765653
114445a006
1224880a99
13149cb80c
14b5679c1
1577e20a3
hex51cae15

85765653 has 12 divisors (see below), whose sum is σ = 124044960. Its totient is φ = 57102696.

The previous prime is 85765649. The next prime is 85765661. The reversal of 85765653 is 35656758.

85765653 is a `hidden beast` number, since 85 + 7 + 6 + 565 + 3 = 666.

It is not a de Polignac number, because 85765653 - 22 = 85765649 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 85765599 and 85765608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85765613) 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, 1618 + ... + 13196.

It is an arithmetic number, because the mean of its divisors is an integer number (10337080).

Almost surely, 285765653 is an apocalyptic number.

It is an amenable number.

85765653 is a deficient number, since it is larger than the sum of its proper divisors (38279307).

85765653 is a wasteful number, since it uses less digits than its factorization.

85765653 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12408 (or 12405 counting only the distinct ones).

The product of its digits is 756000, while the sum is 45.

The square root of 85765653 is about 9260.9747327158. The cubic root of 85765653 is about 440.9991978636. Note that the first 3 decimals are identical.

The spelling of 85765653 in words is "eighty-five million, seven hundred sixty-five thousand, six hundred fifty-three".

Divisors: 1 3 9 823 2469 7407 11579 34737 104211 9529517 28588551 85765653