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8086644 = 2232224629
BaseRepresentation
bin11110110110010001110100
3120012211210100
4132312101310
54032233034
6445154100
7125510136
oct36662164
916184710
108086644
114623685
12285b930
1318a19c7
141107056
15a9b099
hex7b6474

8086644 has 18 divisors (see below), whose sum is σ = 20441330. Its totient is φ = 2695536.

The previous prime is 8086643. The next prime is 8086657. The reversal of 8086644 is 4466808.

8086644 is a `hidden beast` number, since 8 + 0 + 8 + 6 + 644 = 666.

It can be written as a sum of positive squares in only one way, i.e., 8054244 + 32400 = 2838^2 + 180^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×80866442 = 130787622365472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 224629 = 8086644 / (8 + 0 + 8 + 6 + 6 + 4 + 4).

It is a junction number, because it is equal to n+sod(n) for n = 8086599 and 8086608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8086643) 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 5 ways as a sum of consecutive naturals, for example, 112279 + ... + 112350.

Almost surely, 28086644 is an apocalyptic number.

It is an amenable number.

8086644 is an abundant number, since it is smaller than the sum of its proper divisors (12354686).

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

8086644 is a wasteful number, since it uses less digits than its factorization.

8086644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224639 (or 224634 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 8086644 is about 2843.7025160871. The cubic root of 8086644 is about 200.7194422444.

The spelling of 8086644 in words is "eight million, eighty-six thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 224629 449258 673887 898516 1347774 2021661 2695548 4043322 8086644