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86044068 = 223211219753
BaseRepresentation
bin1010010000011…
…10110110100100
312222220111021100
411020032312210
5134011402233
612312120100
72063235225
oct510166644
9188814240
1086044068
114462a200
1224996030
1314a98466
14b5db24c
157849813
hex520eda4

86044068 has 54 divisors (see below), whose sum is σ = 239082662. Its totient is φ = 26072640.

The previous prime is 86044061. The next prime is 86044087.

86044068 is a `hidden beast` number, since 8 + 604 + 40 + 6 + 8 = 666.

86044068 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in only one way, i.e., 65901924 + 20142144 = 8118^2 + 4488^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (86044061) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 5521 + ... + 14232.

Almost surely, 286044068 is an apocalyptic number.

It is an amenable number.

86044068 is an abundant number, since it is smaller than the sum of its proper divisors (153038594).

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

86044068 is a wasteful number, since it uses less digits than its factorization.

86044068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19785 (or 19769 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 86044068 is about 9275.9941785234. The cubic root of 86044068 is about 441.4758773122.

The spelling of 86044068 in words is "eighty-six million, forty-four thousand, sixty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 121 132 198 242 363 396 484 726 1089 1452 2178 4356 19753 39506 59259 79012 118518 177777 217283 237036 355554 434566 651849 711108 869132 1303698 1955547 2390113 2607396 3911094 4780226 7170339 7822188 9560452 14340678 21511017 28681356 43022034 86044068