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85363353 = 3241733169
BaseRepresentation
bin1010001011010…
…00101010011001
312221121220111200
411011220222121
5133323111403
612245344413
72054401515
oct505505231
9187556450
1085363353
1144204829
1224708109
13148ba67a
14b4a1145
157762ca3
hex5168a99

85363353 has 24 divisors (see below), whose sum is σ = 128080680. Its totient is φ = 54743040.

The previous prime is 85363351. The next prime is 85363357. The reversal of 85363353 is 35336358.

It can be written as a sum of positive squares in 4 ways, for example, as 8573184 + 76790169 = 2928^2 + 8763^2 .

It is not a de Polignac number, because 85363353 - 21 = 85363351 is a prime.

It is not an unprimeable number, because it can be changed into a prime (85363351) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25353 + ... + 28521.

It is an arithmetic number, because the mean of its divisors is an integer number (5336695).

Almost surely, 285363353 is an apocalyptic number.

It is an amenable number.

85363353 is a deficient number, since it is larger than the sum of its proper divisors (42717327).

85363353 is a wasteful number, since it uses less digits than its factorization.

85363353 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3289 (or 3286 counting only the distinct ones).

The product of its digits is 97200, while the sum is 36.

The square root of 85363353 is about 9239.2290262770. The cubic root of 85363353 is about 440.3085869016.

The spelling of 85363353 in words is "eighty-five million, three hundred sixty-three thousand, three hundred fifty-three".

Divisors: 1 3 9 41 73 123 219 369 657 2993 3169 8979 9507 26937 28521 129929 231337 389787 694011 1169361 2082033 9484817 28454451 85363353