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2004944 = 24292149
BaseRepresentation
bin111101001011111010000
310202212021012
413221133100
51003124234
6110550052
723020214
oct7513720
93685235
102004944
11114a387
12808328
13552776
143a2944
152990ce
hex1e97d0

2004944 has 30 divisors (see below), whose sum is σ = 4050150. Its totient is φ = 961408.

The previous prime is 2004943. The next prime is 2004953. The reversal of 2004944 is 4494002.

It is a happy number.

2004944 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 78400 + 1926544 = 280^2 + 1388^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2004943) 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, 13382 + ... + 13530.

It is an arithmetic number, because the mean of its divisors is an integer number (135005).

22004944 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 2004944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2025075).

2004944 is an abundant number, since it is smaller than the sum of its proper divisors (2045206).

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

2004944 is a wasteful number, since it uses less digits than its factorization.

2004944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 2004944 is about 1415.9604514251. The cubic root of 2004944 is about 126.0958370557.

Adding to 2004944 its reverse (4494002), we get a palindrome (6498946).

The spelling of 2004944 in words is "two million, four thousand, nine hundred forty-four".

Divisors: 1 2 4 8 16 29 58 116 149 232 298 464 596 841 1192 1682 2384 3364 4321 6728 8642 13456 17284 34568 69136 125309 250618 501236 1002472 2004944