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2844 = 223279
BaseRepresentation
bin101100011100
310220100
4230130
542334
621100
711202
oct5434
93810
102844
112156
121790
1313aa
141072
15c99
hexb1c

2844 has 18 divisors (see below), whose sum is σ = 7280. Its totient is φ = 936.

The previous prime is 2843. The next prime is 2851. The reversal of 2844 is 4482.

It is a happy number.

2844 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

2844 is an esthetic number in base 8, because in such base its adjacent digits differ by 1.

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

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

2844 is a modest number, since divided by 44 gives 28 as remainder.

It is a plaindrome in base 13.

It is a nialpdrome in base 6 and base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2843) 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, 4 + ... + 75.

22844 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 2844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3640).

2844 is an abundant number, since it is smaller than the sum of its proper divisors (4436).

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

2844 is a wasteful number, since it uses less digits than its factorization.

2844 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 84 counting only the distinct ones).

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

The square root of 2844 is about 53.3291665039. The cubic root of 2844 is about 14.1680429267.

The spelling of 2844 in words is "two thousand, eight hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 79 158 237 316 474 711 948 1422 2844