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85117293 = 3214963473
BaseRepresentation
bin1010001001011…
…00100101101101
312221011101222100
411010230211231
5133242223133
612240205313
72052325242
oct504544555
9187141870
1085117293
1144056978
1224609839
1314832681
14b4395c9
157714e13
hex512c96d

85117293 has 12 divisors (see below), whose sum is σ = 123774300. Its totient is φ = 56363136.

The previous prime is 85117259. The next prime is 85117303. The reversal of 85117293 is 39271158.

It can be written as a sum of positive squares in 2 ways, for example, as 14607684 + 70509609 = 3822^2 + 8397^2 .

It is not a de Polignac number, because 85117293 - 214 = 85100909 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85117223) 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, 30396 + ... + 33077.

It is an arithmetic number, because the mean of its divisors is an integer number (10314525).

Almost surely, 285117293 is an apocalyptic number.

It is an amenable number.

85117293 is a deficient number, since it is larger than the sum of its proper divisors (38657007).

85117293 is a wasteful number, since it uses less digits than its factorization.

85117293 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63628 (or 63625 counting only the distinct ones).

The product of its digits is 15120, while the sum is 36.

The square root of 85117293 is about 9225.9033704023. The cubic root of 85117293 is about 439.8851163564.

The spelling of 85117293 in words is "eighty-five million, one hundred seventeen thousand, two hundred ninety-three".

Divisors: 1 3 9 149 447 1341 63473 190419 571257 9457477 28372431 85117293