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85858756 = 224121132
BaseRepresentation
bin1010001111000…
…01100111000100
312222120002001221
411013201213010
5133434440011
612304130124
72061534034
oct507414704
9188502057
1085858756
1144512a55
1224906944
1314a31cc9
14b58d8c4
15780e971
hex51e19c4

85858756 has 27 divisors (see below), whose sum is σ = 155381863. Its totient is φ = 41511680.

The previous prime is 85858753. The next prime is 85858757. The reversal of 85858756 is 65785858.

The square root of 85858756 is 9266.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 75516100 + 10342656 = 8690^2 + 3216^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (85858753) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 759756 + ... + 759868.

Almost surely, 285858756 is an apocalyptic number.

85858756 is the 9266-th square number.

It is an amenable number.

85858756 is a deficient number, since it is larger than the sum of its proper divisors (69523107).

85858756 is a wasteful number, since it uses less digits than its factorization.

85858756 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312 (or 156 counting only the distinct ones).

The product of its digits is 2688000, while the sum is 52.

The cubic root of 85858756 is about 441.1587158791.

The spelling of 85858756 in words is "eighty-five million, eight hundred fifty-eight thousand, seven hundred fifty-six".

Divisors: 1 2 4 41 82 113 164 226 452 1681 3362 4633 6724 9266 12769 18532 25538 51076 189953 379906 523529 759812 1047058 2094116 21464689 42929378 85858756