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86404149 = 32131743441
BaseRepresentation
bin1010010011001…
…10110000110101
320000120210012200
411021212300311
5134104413044
612323535113
72066265066
oct511466065
9200523180
1086404149
1144855797
1224b2a499
1314b93320
14b69256d
1578bb369
hex5266c35

86404149 has 24 divisors (see below), whose sum is σ = 142315992. Its totient is φ = 50042880.

The previous prime is 86404141. The next prime is 86404159. The reversal of 86404149 is 94140468.

It is a happy number.

86404149 is a `hidden beast` number, since 8 + 640 + 4 + 1 + 4 + 9 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5673924 + 80730225 = 2382^2 + 8985^2 .

It is not a de Polignac number, because 86404149 - 23 = 86404141 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86404141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19732 + ... + 23709.

It is an arithmetic number, because the mean of its divisors is an integer number (5929833).

Almost surely, 286404149 is an apocalyptic number.

It is an amenable number.

86404149 is a deficient number, since it is larger than the sum of its proper divisors (55911843).

86404149 is a wasteful number, since it uses less digits than its factorization.

86404149 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43477 (or 43474 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 86404149 is about 9295.3832088839. The cubic root of 86404149 is about 442.0908561341.

The spelling of 86404149 in words is "eighty-six million, four hundred four thousand, one hundred forty-nine".

Divisors: 1 3 9 13 17 39 51 117 153 221 663 1989 43441 130323 390969 564733 738497 1694199 2215491 5082597 6646473 9600461 28801383 86404149