Search a number
-
+
4426844432 = 242934927337
BaseRepresentation
bin1000001111101110…
…00100100100010000
3102102111212222221012
410013313010210100
533031233010212
62011134350052
7214462361663
oct40767044420
912374788835
104426844432
11197192481a
12a3665b328
135571a189a
142ddd056da
151ad98c922
hex107dc4910

4426844432 has 40 divisors (see below), whose sum is σ = 8898519000. Its totient is φ = 2130895872.

The previous prime is 4426844329. The next prime is 4426844441. The reversal of 4426844432 is 2344486244.

It can be written as a sum of positive squares in 4 ways, for example, as 2242590736 + 2184253696 = 47356^2 + 46736^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 4426844432.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 148268 + ... + 175604.

It is an arithmetic number, because the mean of its divisors is an integer number (222462975).

Almost surely, 24426844432 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 4426844432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4449259500).

4426844432 is an abundant number, since it is smaller than the sum of its proper divisors (4471674568).

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

4426844432 is a wasteful number, since it uses less digits than its factorization.

4426844432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27723 (or 27717 counting only the distinct ones).

The product of its digits is 589824, while the sum is 41.

The square root of 4426844432 is about 66534.5356337594. The cubic root of 4426844432 is about 1641.9682436519.

The spelling of 4426844432 in words is "four billion, four hundred twenty-six million, eight hundred forty-four thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 29 58 116 232 349 464 698 1396 2792 5584 10121 20242 27337 40484 54674 80968 109348 161936 218696 437392 792773 1585546 3171092 6342184 9540613 12684368 19081226 38162452 76324904 152649808 276677777 553355554 1106711108 2213422216 4426844432