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85393197 = 342936353
BaseRepresentation
bin1010001011011…
…11111100101101
312221200102110000
411011233330231
5133330040242
612250134513
72054554521
oct505577455
9187612400
1085393197
114422519a
1224721439
13148cb126
14b4abd81
15776ba4c
hex516ff2d

85393197 has 20 divisors (see below), whose sum is σ = 131965020. Its totient is φ = 54964224.

The previous prime is 85393153. The next prime is 85393199. The reversal of 85393197 is 79139358.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 34327881 + 51065316 = 5859^2 + 7146^2 .

It is not a de Polignac number, because 85393197 - 27 = 85393069 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85393199) 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 in 19 ways as a sum of consecutive naturals, for example, 15828 + ... + 20525.

It is an arithmetic number, because the mean of its divisors is an integer number (6598251).

Almost surely, 285393197 is an apocalyptic number.

85393197 is a gapful number since it is divisible by the number (87) formed by its first and last digit.

It is an amenable number.

85393197 is a deficient number, since it is larger than the sum of its proper divisors (46571823).

85393197 is a wasteful number, since it uses less digits than its factorization.

85393197 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36394 (or 36385 counting only the distinct ones).

The product of its digits is 204120, while the sum is 45.

The square root of 85393197 is about 9240.8439549643. The cubic root of 85393197 is about 440.3598932212.

The spelling of 85393197 in words is "eighty-five million, three hundred ninety-three thousand, one hundred ninety-seven".

Divisors: 1 3 9 27 29 81 87 261 783 2349 36353 109059 327177 981531 1054237 2944593 3162711 9488133 28464399 85393197