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2008944 = 243271993
BaseRepresentation
bin111101010011101110000
310210001202100
413222131300
51003241234
6111020400
723034660
oct7523560
93701670
102008944
111152393
1280a700
13554532
143a41a0
1529a399
hex1ea770

2008944 has 60 divisors (see below), whose sum is σ = 6428656. Its totient is φ = 573696.

The previous prime is 2008939. The next prime is 2008949. The reversal of 2008944 is 4498002.

2008944 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2008939) and next prime (2008949).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2008949) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12 + ... + 2004.

22008944 is an apocalyptic number.

2008944 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 2008944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3214328).

2008944 is an abundant number, since it is smaller than the sum of its proper divisors (4419712).

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

2008944 is a wasteful number, since it uses less digits than its factorization.

2008944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2014 (or 2005 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 2008944 is about 1417.3722164626. The cubic root of 2008944 is about 126.1796379487.

The spelling of 2008944 in words is "two million, eight thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 504 1008 1993 3986 5979 7972 11958 13951 15944 17937 23916 27902 31888 35874 41853 47832 55804 71748 83706 95664 111608 125559 143496 167412 223216 251118 286992 334824 502236 669648 1004472 2008944