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8800 = 255211
BaseRepresentation
bin10001001100000
3110001221
42021200
5240200
6104424
734441
oct21140
913057
108800
116680
125114
13400c
1432c8
15291a
hex2260

8800 has 36 divisors (see below), whose sum is σ = 23436. Its totient is φ = 3200.

The previous prime is 8783. The next prime is 8803. The reversal of 8800 is 88.

Adding to 8800 its reverse (88), we get a palindrome (8888).

Multipling 8800 by its reverse (88), we get a square (774400 = 8802).

8800 divided by its reverse (88) gives a square (100 = 102).

It can be divided in two parts, 8 and 800, that multiplied together give a square (6400 = 802).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a nialpdrome in base 10.

It is a zygodrome in base 10.

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 polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 795 + ... + 805.

It is an arithmetic number, because the mean of its divisors is an integer number (651).

28800 is an apocalyptic number.

8800 is a gapful number since it is divisible by the number (80) 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 8800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11718).

8800 is an abundant number, since it is smaller than the sum of its proper divisors (14636).

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

8800 is a wasteful number, since it uses less digits than its factorization.

8800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31 (or 18 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

The square root of 8800 is about 93.8083151965. The cubic root of 8800 is about 20.6456023091.

The spelling of 8800 in words is "eight thousand, eight hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 80 88 100 110 160 176 200 220 275 352 400 440 550 800 880 1100 1760 2200 4400 8800