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4082944 = 2841389
BaseRepresentation
bin1111100100110100000000
321200102202011
433210310000
52021123234
6223302304
746463425
oct17446400
97612664
104082944
112339638
12144a994
13acc558
14783d4c
15559b64
hex3e4d00

4082944 has 36 divisors (see below), whose sum is σ = 8370180. Its totient is φ = 1986560.

The previous prime is 4082933. The next prime is 4082971. The reversal of 4082944 is 4492804.

It can be written as a sum of positive squares in 2 ways, for example, as 518400 + 3564544 = 720^2 + 1888^2 .

It is a congruent number.

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, 10302 + ... + 10690.

It is an arithmetic number, because the mean of its divisors is an integer number (232505).

Almost surely, 24082944 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 4082944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4185090).

4082944 is an abundant number, since it is smaller than the sum of its proper divisors (4287236).

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

4082944 is an equidigital number, since it uses as much as digits as its factorization.

4082944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 446 (or 432 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 31.

The square root of 4082944 is about 2020.6296048509. The cubic root of 4082944 is about 159.8298190545.

The spelling of 4082944 in words is "four million, eighty-two thousand, nine hundred forty-four".

Divisors: 1 2 4 8 16 32 41 64 82 128 164 256 328 389 656 778 1312 1556 2624 3112 5248 6224 10496 12448 15949 24896 31898 49792 63796 99584 127592 255184 510368 1020736 2041472 4082944