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86854352 = 24132111979
BaseRepresentation
bin1010010110101…
…00101011010000
320001102122202212
411023110223100
5134213314402
612341331252
72103151454
oct513245320
9201378685
1086854352
1145032a62
1225106b28
1314cc0210
14b76c664
157959952
hex52d4ad0

86854352 has 40 divisors (see below), whose sum is σ = 182175840. Its totient is φ = 39876480.

The previous prime is 86854351. The next prime is 86854381. The reversal of 86854352 is 25345868.

It is a super-2 number, since 2×868543522 = 15087356922679808, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86854351) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 42899 + ... + 44877.

It is an arithmetic number, because the mean of its divisors is an integer number (4554396).

Almost surely, 286854352 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 86854352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91087920).

86854352 is an abundant number, since it is smaller than the sum of its proper divisors (95321488).

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

86854352 is a wasteful number, since it uses less digits than its factorization.

86854352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2211 (or 2205 counting only the distinct ones).

The product of its digits is 230400, while the sum is 41.

The square root of 86854352 is about 9319.5682303420. The cubic root of 86854352 is about 442.8573546206.

The spelling of 86854352 in words is "eighty-six million, eight hundred fifty-four thousand, three hundred fifty-two".

Divisors: 1 2 4 8 13 16 26 52 104 208 211 422 844 1688 1979 2743 3376 3958 5486 7916 10972 15832 21944 25727 31664 43888 51454 102908 205816 411632 417569 835138 1670276 3340552 5428397 6681104 10856794 21713588 43427176 86854352