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85776 = 2431787
BaseRepresentation
bin10100111100010000
311100122220
4110330100
510221101
61501040
7505035
oct247420
9140586
1085776
1159499
1241780
1330072
142338c
151a636
hex14f10

85776 has 20 divisors (see below), whose sum is σ = 221712. Its totient is φ = 28576.

The previous prime is 85751. The next prime is 85781. The reversal of 85776 is 67758.

It is a plaindrome in base 14.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 846 + ... + 941.

285776 is an apocalyptic number.

It is an amenable number.

85776 is an abundant number, since it is smaller than the sum of its proper divisors (135936).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110856).

85776 is a wasteful number, since it uses less digits than its factorization.

85776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1798 (or 1792 counting only the distinct ones).

The product of its digits is 11760, while the sum is 33.

The square root of 85776 is about 292.8754001278. The cubic root of 85776 is about 44.1016931595.

It can be divided in two parts, 85 and 776, that added together give a triangular number (861 = T41).

The spelling of 85776 in words is "eighty-five thousand, seven hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 24 48 1787 3574 5361 7148 10722 14296 21444 28592 42888 85776