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4044 = 223337
BaseRepresentation
bin111111001100
312112210
4333030
5112134
630420
714535
oct7714
95483
104044
113047
122410
131ac1
14168c
1512e9
hexfcc

4044 has 12 divisors (see below), whose sum is σ = 9464. Its totient is φ = 1344.

The previous prime is 4027. The next prime is 4049. The reversal of 4044 is 4404.

Adding to 4044 its reverse (4404), we get a palindrome (8448).

It is a tau number, because it is divible by the number of its divisors (12).

It is a Harshad number since it is a multiple of its sum of digits (12), and also a Moran number because the ratio is a prime number: 337 = 4044 / (4 + 0 + 4 + 4).

4044 is a modest number, since divided by 44 gives 40 as remainder.

It is a plaindrome in base 14.

It is a nialpdrome in base 16.

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (4049) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 157 + ... + 180.

24044 is an apocalyptic number.

It is an amenable number.

4044 is an abundant number, since it is smaller than the sum of its proper divisors (5420).

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 (4732).

4044 is a wasteful number, since it uses less digits than its factorization.

4044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 12.

The square root of 4044 is about 63.5924523823. The cubic root of 4044 is about 15.9320031024.

The spelling of 4044 in words is "four thousand, forty-four", and thus it is an eban number and an iban number.

Divisors: 1 2 3 4 6 12 337 674 1011 1348 2022 4044