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85487560 = 23517125717
BaseRepresentation
bin1010001100001…
…10111111001000
312221212012212221
411012012333020
5133341100220
612252143424
72055426604
oct506067710
9187765787
1085487560
114428a084
1224767b74
1314932072
14b4d4504
1577899aa
hex5186fc8

85487560 has 32 divisors (see below), whose sum is σ = 203663160. Its totient is φ = 32183296.

The previous prime is 85487539. The next prime is 85487561. The reversal of 85487560 is 6578458.

It can be written as a sum of positive squares in 4 ways, for example, as 79602084 + 5885476 = 8922^2 + 2426^2 .

It is a plaindrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (85487561) 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, 62179 + ... + 63538.

Almost surely, 285487560 is an apocalyptic number.

It is an amenable number.

85487560 is an abundant number, since it is smaller than the sum of its proper divisors (118175600).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

85487560 is a wasteful number, since it uses less digits than its factorization.

85487560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125745 (or 125741 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 43.

The square root of 85487560 is about 9245.9483018239. The cubic root of 85487560 is about 440.5220387834.

The spelling of 85487560 in words is "eighty-five million, four hundred eighty-seven thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 340 680 125717 251434 502868 628585 1005736 1257170 2137189 2514340 4274378 5028680 8548756 10685945 17097512 21371890 42743780 85487560