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2561944 = 237114159
BaseRepresentation
bin1001110001011110011000
311211011022211
421301132120
51123440234
6130524504
730530140
oct11613630
94734284
102561944
11149a910
12a36734
136b9158
144a9920
15359164
hex271798

2561944 has 32 divisors (see below), whose sum is σ = 5990400. Its totient is φ = 997920.

The previous prime is 2561929. The next prime is 2561953. The reversal of 2561944 is 4491652.

2561944 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×25619443 = 50446396878933361152, which contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1464 + ... + 2695.

It is an arithmetic number, because the mean of its divisors is an integer number (187200).

22561944 is an apocalyptic number.

It is an amenable number.

2561944 is an abundant number, since it is smaller than the sum of its proper divisors (3428456).

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

2561944 is a wasteful number, since it uses less digits than its factorization.

2561944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4183 (or 4179 counting only the distinct ones).

The product of its digits is 8640, while the sum is 31.

The square root of 2561944 is about 1600.6073847137. The cubic root of 2561944 is about 136.8326939858.

The spelling of 2561944 in words is "two million, five hundred sixty-one thousand, nine hundred forty-four".

Divisors: 1 2 4 7 8 11 14 22 28 44 56 77 88 154 308 616 4159 8318 16636 29113 33272 45749 58226 91498 116452 182996 232904 320243 365992 640486 1280972 2561944