Search a number
-
+
444450636 = 223272961997
BaseRepresentation
bin11010011111011…
…100011101001100
31010222022102122200
4122133130131030
51402234410021
6112034041500
714004524310
oct3237343514
91128272580
10444450636
11208976383
12104a19290
1371105b56
1443055b40
1529044126
hex1a7dc74c

444450636 has 144 divisors (see below), whose sum is σ = 1351371840. Its totient is φ = 120476160.

The previous prime is 444450613. The next prime is 444450637. The reversal of 444450636 is 636054444.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 444450636.

It is not an unprimeable number, because it can be changed into a prime (444450637) 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 47 ways as a sum of consecutive naturals, for example, 445290 + ... + 446286.

Almost surely, 2444450636 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 444450636, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (675685920).

444450636 is an abundant number, since it is smaller than the sum of its proper divisors (906921204).

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

444450636 is a wasteful number, since it uses less digits than its factorization.

444450636 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1104 (or 1099 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

The square root of 444450636 is about 21081.9979129114. The cubic root of 444450636 is about 763.1463721333.

The spelling of 444450636 in words is "four hundred forty-four million, four hundred fifty thousand, six hundred thirty-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 29 36 42 58 61 63 84 87 116 122 126 174 183 203 244 252 261 348 366 406 427 522 549 609 732 812 854 997 1044 1098 1218 1281 1708 1769 1827 1994 2196 2436 2562 2991 3538 3654 3843 3988 5124 5307 5982 6979 7076 7308 7686 8973 10614 11964 12383 13958 15372 15921 17946 20937 21228 24766 27916 28913 31842 35892 37149 41874 49532 57826 60817 62811 63684 74298 83748 86739 111447 115652 121634 125622 148596 173478 182451 202391 222894 243268 251244 260217 346956 364902 404782 425719 445788 520434 547353 607173 729804 809564 851438 1040868 1094706 1214346 1277157 1702876 1763693 1821519 2189412 2428692 2554314 3527386 3643038 3831471 5108628 5291079 7054772 7286076 7662942 10582158 12345851 15325884 15873237 21164316 24691702 31746474 37037553 49383404 63492948 74075106 111112659 148150212 222225318 444450636