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BaseRepresentation
bin10000000000000
3102020102
42000000
5230232
6101532
732612
oct20000
912212
108192
116178
1248a8
133962
142db2
152662
hex2000

8192 has 14 divisors (see below), whose sum is σ = 16383. Its totient is φ = 4096.

The previous prime is 8191. The next prime is 8209. The reversal of 8192 is 2918.

It is a perfect power (a 13-th power), and thus also a powerful number.

It is a Jordan-Polya number, since it can be written as (2!)13.

8192 is nontrivially palindromic in base 15.

It can be written as a sum of positive squares in only one way, i.e., 4096 + 4096 = 64^2 + 64^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=64.

It is an Ulam number.

It is a Duffinian number.

Its product of digits (144) is a multiple of the sum of its prime divisors (2).

It is a nialpdrome in base 2, base 4, base 8 and base 16.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 8192.

It is not an unprimeable number, because it can be changed into a prime (8191) by changing a digit.

It is an upside-down number.

In principle, a polygon with 8192 sides can be constructed with ruler and compass.

It is an impolite number, since it cannot be written as a nontrivial sum of consecutive naturals.

8192 is a Friedman number, since it can be written as 8*2^(9+1), using all its digits and the basic arithmetic operations.

28192 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 8192

8192 is a deficient number, since it is larger than the sum of its proper divisors (8191).

8192 is an frugal number, since it uses more digits than its factorization.

8192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26 (or 2 counting only the distinct ones).

The product of its digits is 144, while the sum is 20.

The square root of 8192 is about 90.5096679919. The cubic root of 8192 is about 20.1587367983.

The spelling of 8192 in words is "eight thousand, one hundred ninety-two".

Divisors: 1 2 4 8 16 32 64 128 256 512 1024 2048 4096 8192