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89056 = 2511223
BaseRepresentation
bin10101101111100000
311112011101
4111233200
510322211
61524144
7520432
oct255740
9145141
1089056
1160a00
1243654
13316c6
1424652
151b5c1
hex15be0

89056 has 36 divisors (see below), whose sum is σ = 201096. Its totient is φ = 38720.

The previous prime is 89051. The next prime is 89057. The reversal of 89056 is 65098.

It is a super-2 number, since 2×890562 = 15861942272, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89051) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3861 + ... + 3883.

It is an arithmetic number, because the mean of its divisors is an integer number (5586).

289056 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 89056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100548).

89056 is an abundant number, since it is smaller than the sum of its proper divisors (112040).

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

89056 is a wasteful number, since it uses less digits than its factorization.

89056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 28.

The square root of 89056 is about 298.4225192575. The cubic root of 89056 is about 44.6568132519.

It can be divided in two parts, 8905 and 6, that added together give a triangular number (8911 = T133).

The spelling of 89056 in words is "eighty-nine thousand, fifty-six".

Divisors: 1 2 4 8 11 16 22 23 32 44 46 88 92 121 176 184 242 253 352 368 484 506 736 968 1012 1936 2024 2783 3872 4048 5566 8096 11132 22264 44528 89056