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444811844 = 221131815437
BaseRepresentation
bin11010100000110…
…100101001000100
31010222222210010202
4122200310221010
51402332434334
6112045510032
714010560351
oct3240645104
91128883122
10444811844
112090a27a4
12104b72318
1371201399
144310b628
15290b617e
hex1a834a44

444811844 has 24 divisors (see below), whose sum is σ = 789793368. Its totient is φ = 219179520.

The previous prime is 444811781. The next prime is 444811867. The reversal of 444811844 is 448118444.

It can be written as a sum of positive squares in 4 ways, for example, as 25381444 + 419430400 = 5038^2 + 20480^2 .

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 444811798 and 444811807.

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, 79094 + ... + 84530.

It is an arithmetic number, because the mean of its divisors is an integer number (32908057).

Almost surely, 2444811844 is an apocalyptic number.

It is an amenable number.

444811844 is a deficient number, since it is larger than the sum of its proper divisors (344981524).

444811844 is a wasteful number, since it uses less digits than its factorization.

444811844 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5735 (or 5733 counting only the distinct ones).

The product of its digits is 65536, while the sum is 38.

The square root of 444811844 is about 21090.5629133032. The cubic root of 444811844 is about 763.3530542038.

The spelling of 444811844 in words is "four hundred forty-four million, eight hundred eleven thousand, eight hundred forty-four".

Divisors: 1 2 4 113 181 226 362 452 724 5437 10874 20453 21748 40906 81812 614381 984097 1228762 1968194 2457524 3936388 111202961 222405922 444811844