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86868224 = 282911701
BaseRepresentation
bin1010010110110…
…00000100000000
320001110100210122
411023120010000
5134214240344
612341515412
72103240062
oct513300400
9201410718
1086868224
1145042423
1225112b68
1314cc6621
14b773732
15795daee
hex52d8100

86868224 has 36 divisors (see below), whose sum is σ = 179391660. Its totient is φ = 41932800.

The previous prime is 86868203. The next prime is 86868227. The reversal of 86868224 is 42286868.

It can be written as a sum of positive squares in 2 ways, for example, as 57274624 + 29593600 = 7568^2 + 5440^2 .

It is not an unprimeable number, because it can be changed into a prime (86868227) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1574 + ... + 13274.

Almost surely, 286868224 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 86868224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89695830).

86868224 is an abundant number, since it is smaller than the sum of its proper divisors (92523436).

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

86868224 is a wasteful number, since it uses less digits than its factorization.

86868224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11746 (or 11732 counting only the distinct ones).

The product of its digits is 294912, while the sum is 44.

The square root of 86868224 is about 9320.3124411148. The cubic root of 86868224 is about 442.8809304501.

The spelling of 86868224 in words is "eighty-six million, eight hundred sixty-eight thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 29 32 58 64 116 128 232 256 464 928 1856 3712 7424 11701 23402 46804 93608 187216 339329 374432 678658 748864 1357316 1497728 2714632 2995456 5429264 10858528 21717056 43434112 86868224