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85056 = 263443
BaseRepresentation
bin10100110001000000
311022200020
4110301000
510210211
61453440
7502656
oct246100
9138606
1085056
11589a4
1241280
132c93a
1422dd6
151a306
hex14c40

85056 has 28 divisors (see below), whose sum is σ = 225552. Its totient is φ = 28288.

The previous prime is 85049. The next prime is 85061. The reversal of 85056 is 65058.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an alternating number because its digits alternate between even and odd.

It is an unprimeable number.

85056 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 30 + ... + 413.

285056 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 85056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112776).

85056 is an abundant number, since it is smaller than the sum of its proper divisors (140496).

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

85056 is a wasteful number, since it uses less digits than its factorization.

85056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 458 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 85056 is about 291.6436181369. The cubic root of 85056 is about 43.9779503847.

The spelling of 85056 in words is "eighty-five thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 443 886 1329 1772 2658 3544 5316 7088 10632 14176 21264 28352 42528 85056