Base | Representation |
---|---|
bin | 1010010011111… |
… | …11010001100000 |
3 | 20000202212221000 |
4 | 11021333101200 |
5 | 134121121134 |
6 | 12330032000 |
7 | 2100163560 |
oct | 511772140 |
9 | 200685830 |
10 | 86504544 |
11 | 44914165 |
12 | 24b78600 |
13 | 14bc9c29 |
14 | b6bada0 |
15 | 78dae99 |
hex | 527f460 |
86504544 has 96 divisors (see below), whose sum is σ = 288368640. Its totient is φ = 24713856.
The previous prime is 86504543. The next prime is 86504563. The reversal of 86504544 is 44540568.
It is a tau number, because it is divible by the number of its divisors (96).
It is a super-2 number, since 2×865045442 = 14966072265295872, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 86504499 and 86504508.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (86504543) 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 15 ways as a sum of consecutive naturals, for example, 1104 + ... + 13199.
It is an arithmetic number, because the mean of its divisors is an integer number (3003840).
Almost surely, 286504544 is an apocalyptic number.
86504544 is a gapful number since it is divisible by the number (84) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 86504544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144184320).
86504544 is an abundant number, since it is smaller than the sum of its proper divisors (201864096).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
86504544 is a wasteful number, since it uses less digits than its factorization.
86504544 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 14329 (or 14315 counting only the distinct ones).
The product of its (nonzero) digits is 76800, while the sum is 36.
The square root of 86504544 is about 9300.7819026144. The cubic root of 86504544 is about 442.2620150925.
The spelling of 86504544 in words is "eighty-six million, five hundred four thousand, five hundred forty-four".
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