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85948319 is a prime number
BaseRepresentation
bin1010001111101…
…11011110011111
312222201121221002
411013313132133
5134000321234
612310100515
72062356122
oct507673637
9188647832
1085948319
1144574276
122494a73b
1314a639c2
14b5b43b9
15782b27e
hex51f779f

85948319 has 2 divisors, whose sum is σ = 85948320. Its totient is φ = 85948318.

The previous prime is 85948307. The next prime is 85948333. The reversal of 85948319 is 91384958.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 85948319 - 28 = 85948063 is a prime.

It is a super-2 number, since 2×859483192 = 14774227077851522, which contains 22 as substring.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (85948339) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 42974159 + 42974160.

It is an arithmetic number, because the mean of its divisors is an integer number (42974160).

Almost surely, 285948319 is an apocalyptic number.

85948319 is a deficient number, since it is larger than the sum of its proper divisors (1).

85948319 is an equidigital number, since it uses as much as digits as its factorization.

85948319 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 311040, while the sum is 47.

The square root of 85948319 is about 9270.8316239699. The cubic root of 85948319 is about 441.3120598483.

The spelling of 85948319 in words is "eighty-five million, nine hundred forty-eight thousand, three hundred nineteen".