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85393856 = 261778487
BaseRepresentation
bin1010001011100…
…00000111000000
312221200110100102
411011300013000
5133330100411
612250141532
72054556452
oct505600700
9187613312
1085393856
1144225739
12247218a8
13148cb512
14b4ac2d2
15776bd3b
hex51701c0

85393856 has 28 divisors (see below), whose sum is σ = 179423568. Its totient is φ = 40184832.

The previous prime is 85393823. The next prime is 85393859. The reversal of 85393856 is 65839358.

It is a happy number.

It is a super-2 number, since 2×853938562 = 14584221285097472, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 85393856.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85393859) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 38156 + ... + 40331.

Almost surely, 285393856 is an apocalyptic number.

It is an amenable number.

85393856 is an abundant number, since it is smaller than the sum of its proper divisors (94029712).

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

85393856 is a wasteful number, since it uses less digits than its factorization.

85393856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78516 (or 78506 counting only the distinct ones).

The product of its digits is 777600, while the sum is 47.

The square root of 85393856 is about 9240.8796118119. The cubic root of 85393856 is about 440.3610260063.

The spelling of 85393856 in words is "eighty-five million, three hundred ninety-three thousand, eight hundred fifty-six".

Divisors: 1 2 4 8 16 17 32 34 64 68 136 272 544 1088 78487 156974 313948 627896 1255792 1334279 2511584 2668558 5023168 5337116 10674232 21348464 42696928 85393856