Search a number
-
+
444498894 = 23372315419
BaseRepresentation
bin11010011111101…
…000001111001110
31010222101212212000
4122133220033032
51402242431034
6112035053130
714005115100
oct3237501716
91128355760
10444498894
112089a9664
12104a411a6
1371121ac8
1443069570
1529053599
hex1a7e83ce

444498894 has 96 divisors (see below), whose sum is σ = 1186329600. Its totient is φ = 122880240.

The previous prime is 444498889. The next prime is 444498919. The reversal of 444498894 is 498894444.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 444498894.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 79317 + ... + 84735.

It is an arithmetic number, because the mean of its divisors is an integer number (12357600).

Almost surely, 2444498894 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 444498894, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (593164800).

444498894 is an abundant number, since it is smaller than the sum of its proper divisors (741830706).

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

444498894 is a wasteful number, since it uses less digits than its factorization.

444498894 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5475 (or 5462 counting only the distinct ones).

The product of its digits is 5308416, while the sum is 54.

The square root of 444498894 is about 21083.1424128378. The cubic root of 444498894 is about 763.1739916872.

The spelling of 444498894 in words is "four hundred forty-four million, four hundred ninety-eight thousand, eight hundred ninety-four".

Divisors: 1 2 3 6 7 9 14 18 21 27 31 42 49 54 62 63 93 98 126 147 186 189 217 279 294 378 434 441 558 651 837 882 1302 1323 1519 1674 1953 2646 3038 3906 4557 5419 5859 9114 10838 11718 13671 16257 27342 32514 37933 41013 48771 75866 82026 97542 113799 146313 167989 227598 265531 292626 335978 341397 503967 531062 682794 796593 1007934 1024191 1175923 1511901 1593186 2048382 2351846 2389779 3023802 3527769 4535703 4779558 7055538 7169337 8231461 9071406 10583307 14338674 16462922 21166614 24694383 31749921 49388766 63499842 74083149 148166298 222249447 444498894