Search a number
-
+
441401022 = 23317974957
BaseRepresentation
bin11010010011110…
…011111010111110
31010202120111101000
4122103303322332
51400444313042
6111444431130
713636563306
oct3223637276
91122514330
10441401022
11207183137
121039a84a6
13705a8a4a
14428a0606
1528b4074c
hex1a4f3ebe

441401022 has 64 divisors (see below), whose sum is σ = 1049509440. Its totient is φ = 137023488.

The previous prime is 441401021. The next prime is 441401029. The reversal of 441401022 is 220104144.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 441400986 and 441401004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (441401021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 86568 + ... + 91524.

It is an arithmetic number, because the mean of its divisors is an integer number (16398585).

Almost surely, 2441401022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 441401022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (524754720).

441401022 is an abundant number, since it is smaller than the sum of its proper divisors (608108418).

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

441401022 is a wasteful number, since it uses less digits than its factorization.

441401022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5082 (or 5076 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 441401022 is about 21009.5459731999. The cubic root of 441401022 is about 761.3969126052.

Adding to 441401022 its reverse (220104144), we get a palindrome (661505166).

The spelling of 441401022 in words is "four hundred forty-one million, four hundred one thousand, twenty-two".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 97 102 153 194 291 306 459 582 873 918 1649 1746 2619 3298 4947 4957 5238 9894 9914 14841 14871 29682 29742 44523 44613 84269 89046 89226 133839 168538 252807 267678 480829 505614 758421 961658 1442487 1516842 2275263 2884974 4327461 4550526 8174093 8654922 12982383 16348186 24522279 25964766 49044558 73566837 147133674 220700511 441401022