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86373364 = 227111731621
BaseRepresentation
bin1010010010111…
…11001111110100
320000112012222111
411021133033310
5134102421424
612323140404
72066106250
oct511371764
9200465874
1086373364
1144834650
1224b14704
1314b822cc
14b685260
1578b2194
hex525f3f4

86373364 has 48 divisors (see below), whose sum is σ = 189657216. Its totient is φ = 33436800.

The previous prime is 86373361. The next prime is 86373383. The reversal of 86373364 is 46337368.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86373361) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52474 + ... + 54094.

It is an arithmetic number, because the mean of its divisors is an integer number (3951192).

Almost surely, 286373364 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 86373364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94828608).

86373364 is an abundant number, since it is smaller than the sum of its proper divisors (103283852).

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

86373364 is a wasteful number, since it uses less digits than its factorization.

86373364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1816 (or 1814 counting only the distinct ones).

The product of its digits is 217728, while the sum is 40.

The square root of 86373364 is about 9293.7271317809. The cubic root of 86373364 is about 442.0383456014.

The spelling of 86373364 in words is "eighty-six million, three hundred seventy-three thousand, three hundred sixty-four".

Divisors: 1 2 4 7 11 14 22 28 44 77 154 173 308 346 692 1211 1621 1903 2422 3242 3806 4844 6484 7612 11347 13321 17831 22694 26642 35662 45388 53284 71324 124817 249634 280433 499268 560866 1121732 1963031 3084763 3926062 6169526 7852124 12339052 21593341 43186682 86373364