Search a number
-
+
525068768 = 2573137489
BaseRepresentation
bin11111010010111…
…110100111100000
31100121000020221102
4133102332213200
52033404200033
6124034013532
716004003510
oct3722764740
91317006842
10525068768
1124a429a34
12127a172a8
1384a216a3
144da3d840
153116ade8
hex1f4be9e0

525068768 has 48 divisors (see below), whose sum is σ = 1185337440. Its totient is φ = 224280576.

The previous prime is 525068737. The next prime is 525068807. The reversal of 525068768 is 867860525.

It is a super-2 number, since 2×5250687682 = 551394422258075648, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 66368 + ... + 73856.

It is an arithmetic number, because the mean of its divisors is an integer number (24694530).

Almost surely, 2525068768 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 525068768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (592668720).

525068768 is an abundant number, since it is smaller than the sum of its proper divisors (660268672).

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

525068768 is a wasteful number, since it uses less digits than its factorization.

525068768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7819 (or 7811 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 47.

The square root of 525068768 is about 22914.3790664290. The cubic root of 525068768 is about 806.7495444145.

The spelling of 525068768 in words is "five hundred twenty-five million, sixty-eight thousand, seven hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 313 626 1252 2191 2504 4382 5008 7489 8764 10016 14978 17528 29956 35056 52423 59912 70112 104846 119824 209692 239648 419384 838768 1677536 2344057 4688114 9376228 16408399 18752456 32816798 37504912 65633596 75009824 131267192 262534384 525068768