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85411072 = 28437759
BaseRepresentation
bin1010001011101…
…00010100000000
312221201022222001
411011310110000
5133331123242
612250353344
72054660605
oct505642400
9187638861
1085411072
114423766a
122472b854
13149062c6
14b4b46ac
157771eb7
hex5174500

85411072 has 36 divisors (see below), whose sum is σ = 174475840. Its totient is φ = 41707008.

The previous prime is 85411063. The next prime is 85411141. The reversal of 85411072 is 27011458.

It is a self number, because there is not a number n which added to its sum of digits gives 85411072.

It is a congruent number.

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, 7129 + ... + 14887.

Almost surely, 285411072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85411072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87237920).

85411072 is an abundant number, since it is smaller than the sum of its proper divisors (89064768).

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

85411072 is an equidigital number, since it uses as much as digits as its factorization.

85411072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7818 (or 7804 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 28.

The square root of 85411072 is about 9241.8110779219. The cubic root of 85411072 is about 440.3906173077.

The spelling of 85411072 in words is "eighty-five million, four hundred eleven thousand, seventy-two".

Divisors: 1 2 4 8 16 32 43 64 86 128 172 256 344 688 1376 2752 5504 7759 11008 15518 31036 62072 124144 248288 333637 496576 667274 993152 1334548 1986304 2669096 5338192 10676384 21352768 42705536 85411072