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86077188 = 223317173271
BaseRepresentation
bin1010010000101…
…10111100000100
312222222011201000
411020112330010
5134013432223
612312533300
72063433621
oct510267404
9188864630
1086077188
114465207a
12249b1230
1314aaa562
14b609348
157854543
hex5216f04

86077188 has 96 divisors (see below), whose sum is σ = 238533120. Its totient is φ = 26749440.

The previous prime is 86077183. The next prime is 86077217. The reversal of 86077188 is 88177068.

It is not an unprimeable number, because it can be changed into a prime (86077183) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 317493 + ... + 317763.

It is an arithmetic number, because the mean of its divisors is an integer number (2484720).

Almost surely, 286077188 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 86077188, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119266560).

86077188 is an abundant number, since it is smaller than the sum of its proper divisors (152455932).

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

86077188 is a wasteful number, since it uses less digits than its factorization.

86077188 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 474 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 45.

The square root of 86077188 is about 9277.7792601463. The cubic root of 86077188 is about 441.5325142029.

The spelling of 86077188 in words is "eighty-six million, seventy-seven thousand, one hundred eighty-eight".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 102 108 153 173 204 271 306 346 459 519 542 612 692 813 918 1038 1084 1557 1626 1836 2076 2439 2941 3114 3252 4607 4671 4878 5882 6228 7317 8823 9214 9342 9756 11764 13821 14634 17646 18428 18684 26469 27642 29268 35292 41463 46883 52938 55284 79407 82926 93766 105876 124389 140649 158814 165852 187532 248778 281298 317628 421947 497556 562596 797011 843894 1265841 1594022 1687788 2391033 2531682 3188044 4782066 5063364 7173099 9564132 14346198 21519297 28692396 43038594 86077188