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444239874 = 2321319163613
BaseRepresentation
bin11010011110101…
…001000000000010
31010221220201112200
4122132221000002
51402211133444
6112025334030
714002655661
oct3236510002
91127821480
10444239874
11208841aa1
12104937316
1371060c40
1442ddcdd8
1529001969
hex1a7a9002

444239874 has 96 divisors (see below), whose sum is σ = 1099600320. Its totient is φ = 128490624.

The previous prime is 444239867. The next prime is 444239891. The reversal of 444239874 is 478932444.

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 47 ways as a sum of consecutive naturals, for example, 724392 + ... + 725004.

It is an arithmetic number, because the mean of its divisors is an integer number (11454170).

Almost surely, 2444239874 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 444239874, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (549800160).

444239874 is an abundant number, since it is smaller than the sum of its proper divisors (655360446).

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

444239874 is a wasteful number, since it uses less digits than its factorization.

444239874 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 816 (or 813 counting only the distinct ones).

The product of its digits is 774144, while the sum is 45.

The square root of 444239874 is about 21076.9986952602. The cubic root of 444239874 is about 763.0257230492.

The spelling of 444239874 in words is "four hundred forty-four million, two hundred thirty-nine thousand, eight hundred seventy-four".

Divisors: 1 2 3 6 9 13 18 19 26 38 39 57 78 114 117 163 171 234 247 326 342 489 494 613 741 978 1226 1467 1482 1839 2119 2223 2934 3097 3678 4238 4446 5517 6194 6357 7969 9291 11034 11647 12714 15938 18582 19071 23294 23907 27873 34941 38142 40261 47814 55746 69882 71721 80522 99919 104823 120783 143442 151411 199838 209646 241566 299757 302822 362349 454233 599514 724698 899271 908466 1298947 1362699 1798542 1898461 2597894 2725398 3796922 3896841 5695383 7793682 11390766 11690523 17086149 23381046 24679993 34172298 49359986 74039979 148079958 222119937 444239874