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85414986 = 235181971
BaseRepresentation
bin1010001011101…
…01010001001010
312221201112100000
411011311101022
5133331234421
612250423430
72055005166
oct505652112
9187645300
1085414986
114423a5a8
1224731b76
1314908017
14b4b5ca6
157773226
hex517544a

85414986 has 48 divisors (see below), whose sum is σ = 193179168. Its totient is φ = 28285200.

The previous prime is 85414961. The next prime is 85415003. The reversal of 85414986 is 68941458.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 87481 + ... + 88451.

It is an arithmetic number, because the mean of its divisors is an integer number (4024566).

Almost surely, 285414986 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85414986, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96589584).

85414986 is an abundant number, since it is smaller than the sum of its proper divisors (107764182).

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

85414986 is a wasteful number, since it uses less digits than its factorization.

85414986 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1169 (or 1157 counting only the distinct ones).

The product of its digits is 276480, while the sum is 45.

The square root of 85414986 is about 9242.0228305280. The cubic root of 85414986 is about 440.3973442363.

The spelling of 85414986 in words is "eighty-five million, four hundred fourteen thousand, nine hundred eighty-six".

Divisors: 1 2 3 6 9 18 27 54 81 162 181 243 362 486 543 971 1086 1629 1942 2913 3258 4887 5826 8739 9774 14661 17478 26217 29322 43983 52434 78651 87966 157302 175751 235953 351502 471906 527253 1054506 1581759 3163518 4745277 9490554 14235831 28471662 42707493 85414986