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444056405 = 51317401861
BaseRepresentation
bin11010011101111…
…100001101010101
31010221120101212112
4122131330031111
51402134301110
6112021400405
714001263042
oct3235741525
91127511775
10444056405
11208727171
12104869105
1370cc8590
1442d921c9
1528eb7405
hex1a77c355

444056405 has 16 divisors (see below), whose sum is σ = 607615344. Its totient is φ = 308628480.

The previous prime is 444056401. The next prime is 444056411. The reversal of 444056405 is 504650444.

It can be written as a sum of positive squares in 8 ways, for example, as 4986289 + 439070116 = 2233^2 + 20954^2 .

It is not a de Polignac number, because 444056405 - 22 = 444056401 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444056401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 199826 + ... + 202035.

It is an arithmetic number, because the mean of its divisors is an integer number (37975959).

Almost surely, 2444056405 is an apocalyptic number.

It is an amenable number.

444056405 is a deficient number, since it is larger than the sum of its proper divisors (163558939).

444056405 is a wasteful number, since it uses less digits than its factorization.

444056405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401896.

The product of its (nonzero) digits is 38400, while the sum is 32.

The square root of 444056405 is about 21072.6458946189. The cubic root of 444056405 is about 762.9206665613.

The spelling of 444056405 in words is "four hundred forty-four million, fifty-six thousand, four hundred five".

Divisors: 1 5 13 17 65 85 221 1105 401861 2009305 5224193 6831637 26120965 34158185 88811281 444056405