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85958574 = 23131676599
BaseRepresentation
bin1010001111110…
…01111110101110
312222202010222220
411013321332232
5134001133244
612310220210
72062431042
oct507717656
9188663886
1085958574
1144580a49
1224954666
1314a68580
14b5b8022
15782e319
hex51f9fae

85958574 has 32 divisors (see below), whose sum is σ = 186278400. Its totient is φ = 26286432.

The previous prime is 85958563. The next prime is 85958597. The reversal of 85958574 is 47585958.

It is a super-2 number, since 2×859585742 = 14777752888226952, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9727 + ... + 16325.

It is an arithmetic number, because the mean of its divisors is an integer number (5821200).

Almost surely, 285958574 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85958574, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93139200).

85958574 is an abundant number, since it is smaller than the sum of its proper divisors (100319826).

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

85958574 is a wasteful number, since it uses less digits than its factorization.

85958574 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6784.

The product of its digits is 2016000, while the sum is 51.

The square root of 85958574 is about 9271.3846862268. The cubic root of 85958574 is about 441.3296109971.

The spelling of 85958574 in words is "eighty-five million, nine hundred fifty-eight thousand, five hundred seventy-four".

Divisors: 1 2 3 6 13 26 39 78 167 334 501 1002 2171 4342 6513 6599 13026 13198 19797 39594 85787 171574 257361 514722 1102033 2204066 3306099 6612198 14326429 28652858 42979287 85958574