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86434902 = 23217436569
BaseRepresentation
bin1010010011011…
…10010001010110
320000122100101200
411021232101112
5134111404102
612324333330
72066453541
oct511562126
9200570350
1086434902
1144876904
1224b44246
1314ba4318
14b69d858
1578c551c
hex526e456

86434902 has 48 divisors (see below), whose sum is σ = 202934160. Its totient is φ = 26482176.

The previous prime is 86434889. The next prime is 86434939. The reversal of 86434902 is 20943468.

It is a happy number.

86434902 is a `hidden beast` number, since 8 + 643 + 4 + 9 + 0 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

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, 9874 + ... + 16442.

It is an arithmetic number, because the mean of its divisors is an integer number (4227795).

Almost surely, 286434902 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86434902, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101467080).

86434902 is an abundant number, since it is smaller than the sum of its proper divisors (116499258).

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

86434902 is a wasteful number, since it uses less digits than its factorization.

86434902 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6637 (or 6634 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 86434902 is about 9297.0372700124. The cubic root of 86434902 is about 442.1432996320.

The spelling of 86434902 in words is "eighty-six million, four hundred thirty-four thousand, nine hundred two".

Divisors: 1 2 3 6 9 17 18 34 43 51 86 102 129 153 258 306 387 731 774 1462 2193 4386 6569 6579 13138 13158 19707 39414 59121 111673 118242 223346 282467 335019 564934 670038 847401 1005057 1694802 2010114 2542203 4801939 5084406 9603878 14405817 28811634 43217451 86434902