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86504544 = 2533714303
BaseRepresentation
bin1010010011111…
…11010001100000
320000202212221000
411021333101200
5134121121134
612330032000
72100163560
oct511772140
9200685830
1086504544
1144914165
1224b78600
1314bc9c29
14b6bada0
1578dae99
hex527f460

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".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 72 84 96 108 112 126 144 168 189 216 224 252 288 336 378 432 504 672 756 864 1008 1512 2016 3024 6048 14303 28606 42909 57212 85818 100121 114424 128727 171636 200242 228848 257454 300363 343272 386181 400484 457696 514908 600726 686544 772362 800968 901089 1029816 1201452 1373088 1544724 1601936 1802178 2059632 2402904 2703267 3089448 3203872 3604356 4119264 4805808 5406534 6178896 7208712 9611616 10813068 12357792 14417424 21626136 28834848 43252272 86504544