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85811776 = 2610912301
BaseRepresentation
bin1010001110101…
…10001001000000
312222110200121221
411013112021000
5133431434101
612303124424
72061250051
oct507261100
9188420557
1085811776
1144490726
12248a3714
1314a167cb
14b57a728
157800aa1
hex51d6240

85811776 has 28 divisors (see below), whose sum is σ = 171858940. Its totient is φ = 42508800.

The previous prime is 85811749. The next prime is 85811777. The reversal of 85811776 is 67711858.

It can be written as a sum of positive squares in 2 ways, for example, as 45158400 + 40653376 = 6720^2 + 6376^2 .

It is not an unprimeable number, because it can be changed into a prime (85811777) 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, 826 + ... + 13126.

Almost surely, 285811776 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 85811776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85929470).

85811776 is an abundant number, since it is smaller than the sum of its proper divisors (86047164).

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

85811776 is a wasteful number, since it uses less digits than its factorization.

85811776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12422 (or 12412 counting only the distinct ones).

The product of its digits is 94080, while the sum is 43.

The square root of 85811776 is about 9263.4645786552. The cubic root of 85811776 is about 441.0782371224.

The spelling of 85811776 in words is "eighty-five million, eight hundred eleven thousand, seven hundred seventy-six".

Divisors: 1 2 4 8 16 32 64 109 218 436 872 1744 3488 6976 12301 24602 49204 98408 196816 393632 787264 1340809 2681618 5363236 10726472 21452944 42905888 85811776