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85848569 is a prime number
BaseRepresentation
bin1010001110111…
…11000111111001
312222112120002122
411013133013321
5133434123234
612304011025
72061462242
oct507370771
9188476078
1085848569
1144506334
1224900a75
1314a2a491
14b589cc9
15780b92e
hex51df1f9

85848569 has 2 divisors, whose sum is σ = 85848570. Its totient is φ = 85848568.

The previous prime is 85848563. The next prime is 85848577. The reversal of 85848569 is 96584858.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 77668969 + 8179600 = 8813^2 + 2860^2 .

It is a cyclic number.

It is not a de Polignac number, because 85848569 - 220 = 84799993 is a prime.

It is a super-2 number, since 2×858485692 = 14739953598695522, which contains 22 as substring.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 85848569.

It is not a weakly prime, because it can be changed into another prime (85848563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 42924284 + 42924285.

It is an arithmetic number, because the mean of its divisors is an integer number (42924285).

Almost surely, 285848569 is an apocalyptic number.

It is an amenable number.

85848569 is a deficient number, since it is larger than the sum of its proper divisors (1).

85848569 is an equidigital number, since it uses as much as digits as its factorization.

85848569 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2764800, while the sum is 53.

The square root of 85848569 is about 9265.4502858739. The cubic root of 85848569 is about 441.1412676040.

The spelling of 85848569 in words is "eighty-five million, eight hundred forty-eight thousand, five hundred sixty-nine".