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85385682 = 23225118899
BaseRepresentation
bin1010001011011…
…10000111010010
312221200001010200
411011232013102
5133324320212
612250040030
72054523564
oct505560722
9187601120
1085385682
114421a588
1224719016
13148c7895
14b4a9334
1577696dc
hex516e1d2

85385682 has 24 divisors (see below), whose sum is σ = 185749200. Its totient is φ = 28347000.

The previous prime is 85385681. The next prime is 85385693. The reversal of 85385682 is 28658358.

It is a happy number.

85385682 is a `hidden beast` number, since 85 + 3 + 8 + 568 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (85385681) 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, 4932 + ... + 13967.

It is an arithmetic number, because the mean of its divisors is an integer number (7739550).

Almost surely, 285385682 is an apocalyptic number.

85385682 is an abundant number, since it is smaller than the sum of its proper divisors (100363518).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

85385682 is a wasteful number, since it uses less digits than its factorization.

85385682 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19158 (or 19155 counting only the distinct ones).

The product of its digits is 460800, while the sum is 45.

The square root of 85385682 is about 9240.4373273130. The cubic root of 85385682 is about 440.3469749334.

The spelling of 85385682 in words is "eighty-five million, three hundred eighty-five thousand, six hundred eighty-two".

Divisors: 1 2 3 6 9 18 251 502 753 1506 2259 4518 18899 37798 56697 113394 170091 340182 4743649 9487298 14230947 28461894 42692841 85385682