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85760313 = 3121323567
BaseRepresentation
bin1010001110010…
…01100100111001
312222101002000220
411013021210321
5133423312223
612302050253
72060644032
oct507114471
9188332026
1085760313
1144455aa1
1224879989
13149c9262
14b565a89
1577e06e3
hex51c9939

85760313 has 8 divisors (see below), whose sum is σ = 114446208. Its totient is φ = 57123984.

The previous prime is 85760309. The next prime is 85760341. The reversal of 85760313 is 31306758.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 85760313 - 22 = 85760309 is a prime.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is not an unprimeable number, because it can be changed into a prime (85760303) 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 7 ways as a sum of consecutive naturals, for example, 8145 + ... + 15422.

It is an arithmetic number, because the mean of its divisors is an integer number (14305776).

Almost surely, 285760313 is an apocalyptic number.

It is an amenable number.

85760313 is a deficient number, since it is larger than the sum of its proper divisors (28685895).

85760313 is a wasteful number, since it uses less digits than its factorization.

85760313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24783.

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 85760313 is about 9260.6864216428. The cubic root of 85760313 is about 440.9900450753.

The spelling of 85760313 in words is "eighty-five million, seven hundred sixty thousand, three hundred thirteen".

Divisors: 1 3 1213 3639 23567 70701 28586771 85760313