Search a number
-
+
5365050426 = 2322331141669
BaseRepresentation
bin1001111111100100…
…00010110000111010
3111211220021210121100
410333302002300322
541441423103201
62244211352230
7246644114301
oct47762026072
914756253540
105365050426
11230348187a
1210588b2676
13676684368
1438c769438
15216014886
hex13fc82c3a

5365050426 has 48 divisors (see below), whose sum is σ = 12168973440. Its totient is φ = 1705054560.

The previous prime is 5365050421. The next prime is 5365050443. The reversal of 5365050426 is 6240505635.

It is a happy number.

5365050426 is a `hidden beast` number, since 536 + 50 + 50 + 4 + 26 = 666.

It is not an unprimeable number, because it can be changed into a prime (5365050421) 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 23 ways as a sum of consecutive naturals, for example, 107920 + ... + 149588.

It is an arithmetic number, because the mean of its divisors is an integer number (253520280).

Almost surely, 25365050426 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5365050426, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6084486720).

5365050426 is an abundant number, since it is smaller than the sum of its proper divisors (6803923014).

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

5365050426 is a wasteful number, since it uses less digits than its factorization.

5365050426 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42011 (or 42008 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

The square root of 5365050426 is about 73246.5045309331. The cubic root of 5365050426 is about 1750.6175155163.

The spelling of 5365050426 in words is "five billion, three hundred sixty-five million, fifty thousand, four hundred twenty-six".

Divisors: 1 2 3 6 9 18 23 46 69 138 207 311 414 622 933 1866 2799 5598 7153 14306 21459 41669 42918 64377 83338 125007 128754 250014 375021 750042 958387 1916774 2875161 5750322 8625483 12959059 17250966 25918118 38877177 77754354 116631531 233263062 298058357 596116714 894175071 1788350142 2682525213 5365050426