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2044 = 22773
BaseRepresentation
bin11111111100
32210201
4133330
531134
613244
75650
oct3774
92721
102044
111599
121224
13c13
14a60
15914
hex7fc

2044 has 12 divisors (see below), whose sum is σ = 4144. Its totient is φ = 864.

The previous prime is 2039. The next prime is 2053. The reversal of 2044 is 4402.

Adding to 2044 its reverse (4402), we get a palindrome (6446).

It can be divided in two parts, 20 and 44, that added together give a 6-th power (64 = 26).

2044 is an admirable number.

2044 is a modest number, since divided by 44 gives 20 as remainder.

It is a plaindrome in base 11 and base 12.

It is a nialpdrome in base 2 and base 14.

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 2044.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 9 + ... + 64.

It is an amenable number.

2044 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2072).

2044 is a wasteful number, since it uses less digits than its factorization.

2044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 10.

The square root of 2044 is about 45.2106182218. The cubic root of 2044 is about 12.6909353135.

The spelling of 2044 in words is "two thousand, forty-four", and thus it is an eban number and an iban number.

Divisors: 1 2 4 7 14 28 73 146 292 511 1022 2044