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85935880 = 2352148397
BaseRepresentation
bin1010001111101…
…00011100001000
312222200222212101
411013310130020
5133444422010
612305523144
72062304632
oct507643410
9188628771
1085935880
1144565998
12249434b4
1314a5b144
14b5ada52
15782773a
hex51f4708

85935880 has 16 divisors (see below), whose sum is σ = 193355820. Its totient is φ = 34374336.

The previous prime is 85935859. The next prime is 85935911. The reversal of 85935880 is 8853958.

It can be written as a sum of positive squares in 2 ways, for example, as 85266756 + 669124 = 9234^2 + 818^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 85935880.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1074159 + ... + 1074238.

Almost surely, 285935880 is an apocalyptic number.

It is an amenable number.

85935880 is an abundant number, since it is smaller than the sum of its proper divisors (107419940).

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

85935880 is a wasteful number, since it uses less digits than its factorization.

85935880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2148408 (or 2148404 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 46.

The square root of 85935880 is about 9270.1607321556. The cubic root of 85935880 is about 441.2907689702.

The spelling of 85935880 in words is "eighty-five million, nine hundred thirty-five thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 20 40 2148397 4296794 8593588 10741985 17187176 21483970 42967940 85935880