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81886176 = 25321571811
BaseRepresentation
bin1001110000101…
…11101111100000
312201002020201100
410320113233200
5131430324201
612043034400
72013010131
oct470275740
9181066640
1081886176
114224a329
122350ba00
1313c70a78
14ac37c88
1572c7886
hex4e17be0

81886176 has 72 divisors (see below), whose sum is σ = 234476424. Its totient is φ = 27106560.

The previous prime is 81886163. The next prime is 81886177. The reversal of 81886176 is 67168818.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81886177) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 44311 + ... + 46121.

It is an arithmetic number, because the mean of its divisors is an integer number (3256617).

Almost surely, 281886176 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 81886176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117238212).

81886176 is an abundant number, since it is smaller than the sum of its proper divisors (152590248).

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

81886176 is a wasteful number, since it uses less digits than its factorization.

81886176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1984 (or 1973 counting only the distinct ones).

The product of its digits is 129024, while the sum is 45.

The square root of 81886176 is about 9049.0980766041. The cubic root of 81886176 is about 434.2470366887.

The spelling of 81886176 in words is "eighty-one million, eight hundred eighty-six thousand, one hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 157 288 314 471 628 942 1256 1413 1811 1884 2512 2826 3622 3768 5024 5433 5652 7244 7536 10866 11304 14488 15072 16299 21732 22608 28976 32598 43464 45216 57952 65196 86928 130392 173856 260784 284327 521568 568654 852981 1137308 1705962 2274616 2558943 3411924 4549232 5117886 6823848 9098464 10235772 13647696 20471544 27295392 40943088 81886176