Search a number
-
+
444704868 = 223292913297
BaseRepresentation
bin11010100000011…
…010100001100100
31010222210100101200
4122200122201210
51402321023433
6112043322500
714006633436
oct3240324144
91128710350
10444704868
1120902a393
12104b20430
137119479a
14430c0656
1529094613
hex1a81a864

444704868 has 36 divisors (see below), whose sum is σ = 1125409740. Its totient is φ = 148064256.

The previous prime is 444704867. The next prime is 444704881. The reversal of 444704868 is 868407444.

It can be written as a sum of positive squares in 2 ways, for example, as 4460544 + 440244324 = 2112^2 + 20982^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (444704867) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 26796 + ... + 40092.

Almost surely, 2444704868 is an apocalyptic number.

It is an amenable number.

444704868 is an abundant number, since it is smaller than the sum of its proper divisors (680704872).

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

444704868 is a wasteful number, since it uses less digits than its factorization.

444704868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14236 (or 14231 counting only the distinct ones).

The product of its (nonzero) digits is 688128, while the sum is 45.

The square root of 444704868 is about 21088.0266502108. The cubic root of 444704868 is about 763.2918545418.

The spelling of 444704868 in words is "four hundred forty-four million, seven hundred four thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 929 1858 2787 3716 5574 8361 11148 13297 16722 26594 33444 39891 53188 79782 119673 159564 239346 478692 12352913 24705826 37058739 49411652 74117478 111176217 148234956 222352434 444704868