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2002944 = 2123163
BaseRepresentation
bin111101001000000000000
310202202112010
413221000000
51003043234
6110532520
723011326
oct7510000
93682463
102002944
111148929
12807140
13551898
143a1d16
152986e9
hex1e9000

2002944 has 52 divisors (see below), whose sum is σ = 5373296. Its totient is φ = 663552.

The previous prime is 2002939. The next prime is 2002967. The reversal of 2002944 is 4492002.

It is a nialpdrome in base 8.

It is a self number, because there is not a number n which added to its sum of digits gives 2002944.

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, 12207 + ... + 12369.

22002944 is an apocalyptic number.

2002944 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2002944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2686648).

2002944 is an abundant number, since it is smaller than the sum of its proper divisors (3370352).

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

2002944 is an equidigital number, since it uses as much as digits as its factorization.

2002944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 2002944 is about 1415.2540407997. The cubic root of 2002944 is about 126.0538948074.

Adding to 2002944 its reverse (4492002), we get a palindrome (6494946).

The spelling of 2002944 in words is "two million, two thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 163 192 256 326 384 489 512 652 768 978 1024 1304 1536 1956 2048 2608 3072 3912 4096 5216 6144 7824 10432 12288 15648 20864 31296 41728 62592 83456 125184 166912 250368 333824 500736 667648 1001472 2002944