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85435313 = 12725297
BaseRepresentation
bin1010001011110…
…10001110110001
312221202120012212
411011322032301
5133332412223
612251101505
72055121355
oct505721661
9187676185
1085435313
11442538a7
1224741895
1314914352
14b4bd465
157779278
hex517a3b1

85435313 has 6 divisors (see below), whose sum is σ = 86129586. Its totient is φ = 84746592.

The previous prime is 85435297. The next prime is 85435321. The reversal of 85435313 is 31353458.

It can be written as a sum of positive squares in only one way, i.e., 81306289 + 4129024 = 9017^2 + 2032^2 .

It is not a de Polignac number, because 85435313 - 24 = 85435297 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 85435313.

It is not an unprimeable number, because it can be changed into a prime (85435333) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 13481 + ... + 18777.

It is an arithmetic number, because the mean of its divisors is an integer number (14354931).

Almost surely, 285435313 is an apocalyptic number.

It is an amenable number.

85435313 is a deficient number, since it is larger than the sum of its proper divisors (694273).

85435313 is an equidigital number, since it uses as much as digits as its factorization.

85435313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5551 (or 5424 counting only the distinct ones).

The product of its digits is 21600, while the sum is 32.

The square root of 85435313 is about 9243.1224702478. The cubic root of 85435313 is about 440.4322766184.

The spelling of 85435313 in words is "eighty-five million, four hundred thirty-five thousand, three hundred thirteen".

Divisors: 1 127 5297 16129 672719 85435313