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8244 = 2232229
BaseRepresentation
bin10000000110100
3102022100
42000310
5230434
6102100
733015
oct20064
912270
108244
116215
124930
1339a2
14300c
152699
hex2034

8244 has 18 divisors (see below), whose sum is σ = 20930. Its totient is φ = 2736.

The previous prime is 8243. The next prime is 8263. The reversal of 8244 is 4428.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 8100 + 144 = 90^2 + 12^2 .

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

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a plaindrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8243) 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, 79 + ... + 150.

It is an amenable number.

8244 is an abundant number, since it is smaller than the sum of its proper divisors (12686).

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

8244 is a wasteful number, since it uses less digits than its factorization.

8244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239 (or 234 counting only the distinct ones).

The product of its digits is 256, while the sum is 18.

The square root of 8244 is about 90.7964757025. The cubic root of 8244 is about 20.2013004424.

It can be divided in two parts, 824 and 4, that added together give a palindrome (828).

The spelling of 8244 in words is "eight thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 229 458 687 916 1374 2061 2748 4122 8244