Search a number
-
+
5725411328 = 21171331991
BaseRepresentation
bin1010101010100001…
…01101100000000000
3112210000101000211102
411111100231200000
543211201130303
62344043233532
7261611123210
oct52520554000
915700330742
105725411328
1124789332aa
1211395188a8
13703227470
143c4572240
15237998288
hex15542d800

5725411328 has 192 divisors, whose sum is σ = 14559068160. Its totient is φ = 2189721600.

The previous prime is 5725411301. The next prime is 5725411331. The reversal of 5725411328 is 8231145275.

It is a junction number, because it is equal to n+sod(n) for n = 5725411291 and 5725411300.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5776913 + ... + 5777903.

It is an arithmetic number, because the mean of its divisors is an integer number (75828480).

Almost surely, 25725411328 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 5725411328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7279534080).

5725411328 is an abundant number, since it is smaller than the sum of its proper divisors (8833656832).

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

5725411328 is a wasteful number, since it uses less digits than its factorization.

5725411328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1064 (or 1044 counting only the distinct ones).

The product of its digits is 67200, while the sum is 38.

The square root of 5725411328 is about 75666.4478352195. The cubic root of 5725411328 is about 1788.9665942942.

The spelling of 5725411328 in words is "five billion, seven hundred twenty-five million, four hundred eleven thousand, three hundred twenty-eight".