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8801 = 13677
BaseRepresentation
bin10001001100001
3110001222
42021201
5240201
6104425
734442
oct21141
913058
108801
116681
125115
134010
1432c9
15291b
hex2261

8801 has 4 divisors (see below), whose sum is σ = 9492. Its totient is φ = 8112.

The previous prime is 8783. The next prime is 8803. The reversal of 8801 is 1088.

Adding to 8801 its reverse (1088), we get a palindrome (9889).

It is a happy number.

8801 is nontrivially palindromic in base 12.

8801 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 5776 + 3025 = 76^2 + 55^2 .

It is not a de Polignac number, because 8801 - 26 = 8737 is a prime.

It is a magnanimous number.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 8801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8803) by changing a digit.

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, 326 + ... + 351.

It is an arithmetic number, because the mean of its divisors is an integer number (2373).

It is the magic constant of a 26 × 26 magic square.

It is an amenable number.

8801 is a deficient number, since it is larger than the sum of its proper divisors (691).

8801 is a wasteful number, since it uses less digits than its factorization.

8801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 690.

The product of its (nonzero) digits is 64, while the sum is 17.

The square root of 8801 is about 93.8136450630. The cubic root of 8801 is about 20.6463843099.

The spelling of 8801 in words is "eight thousand, eight hundred one".

Divisors: 1 13 677 8801