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86145534 = 23223283109
BaseRepresentation
bin1010010001001…
…11100111111110
320000002122110100
411020213213332
5134023124114
612314221530
72064140106
oct510474776
9200078410
1086145534
1144699462
1224a248a6
1314b026b7
14b626206
157869909
hex52279fe

86145534 has 72 divisors (see below), whose sum is σ = 199279080. Its totient is φ = 26886816.

The previous prime is 86145533. The next prime is 86145541. The reversal of 86145534 is 43554168.

It is a happy number.

86145534 is a `hidden beast` number, since 8 + 614 + 5 + 5 + 34 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86145533) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 790272 + ... + 790380.

It is an arithmetic number, because the mean of its divisors is an integer number (2767765).

Almost surely, 286145534 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86145534, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99639540).

86145534 is an abundant number, since it is smaller than the sum of its proper divisors (113133546).

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

86145534 is a wasteful number, since it uses less digits than its factorization.

86145534 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 220 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The square root of 86145534 is about 9281.4618460671. The cubic root of 86145534 is about 441.6493434446.

The spelling of 86145534 in words is "eighty-six million, one hundred forty-five thousand, five hundred thirty-four".

Divisors: 1 2 3 6 9 18 23 46 69 83 109 138 166 207 218 249 327 414 498 529 654 747 981 1058 1494 1587 1909 1962 2507 3174 3818 4761 5014 5727 7521 9047 9522 11454 15042 17181 18094 22563 27141 34362 43907 45126 54282 57661 81423 87814 115322 131721 162846 172983 208081 263442 345966 395163 416162 518949 624243 790326 1037898 1248486 1872729 3745458 4785863 9571726 14357589 28715178 43072767 86145534