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8663168 = 27531277
BaseRepresentation
bin100001000011…
…000010000000
3121022010122002
4201003002000
54204210133
6505403132
7133431023
oct41030200
917263562
108663168
114987848
122a994a8
131a44247
1412171ba
15b61ce8
hex843080

8663168 has 32 divisors (see below), whose sum is σ = 17598060. Its totient is φ = 4246528.

The previous prime is 8663153. The next prime is 8663209. The reversal of 8663168 is 8613668.

8663168 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 8340544 + 322624 = 2888^2 + 568^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6146 + ... + 7422.

Almost surely, 28663168 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 8663168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8799030).

8663168 is an abundant number, since it is smaller than the sum of its proper divisors (8934892).

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

8663168 is a wasteful number, since it uses less digits than its factorization.

8663168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1344 (or 1332 counting only the distinct ones).

The product of its digits is 41472, while the sum is 38.

The square root of 8663168 is about 2943.3260098059. The cubic root of 8663168 is about 205.3803606609.

The spelling of 8663168 in words is "eight million, six hundred sixty-three thousand, one hundred sixty-eight".

Divisors: 1 2 4 8 16 32 53 64 106 128 212 424 848 1277 1696 2554 3392 5108 6784 10216 20432 40864 67681 81728 135362 163456 270724 541448 1082896 2165792 4331584 8663168