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528526404 = 22337838423
BaseRepresentation
bin11111100000001…
…010110001000100
31100211111220221000
4133200022301010
52040300321104
6124240053300
716045254210
oct3740126104
91324456830
10528526404
1125138078a
12129004230
1385662423
145029d940
1531600639
hex1f80ac44

528526404 has 96 divisors (see below), whose sum is σ = 1585059840. Its totient is φ = 149170464.

The previous prime is 528526403. The next prime is 528526429. The reversal of 528526404 is 404625825.

It is a happy number.

528526404 is a `hidden beast` number, since 5 + 2 + 8 + 5 + 2 + 640 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (528526403) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 58537 + ... + 66959.

It is an arithmetic number, because the mean of its divisors is an integer number (16511040).

Almost surely, 2528526404 is an apocalyptic number.

528526404 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 528526404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (792529920).

528526404 is an abundant number, since it is smaller than the sum of its proper divisors (1056533436).

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

528526404 is a wasteful number, since it uses less digits than its factorization.

528526404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8526 (or 8518 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The square root of 528526404 is about 22989.7021294318. The cubic root of 528526404 is about 808.5165165409.

The spelling of 528526404 in words is "five hundred twenty-eight million, five hundred twenty-six thousand, four hundred four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 83 84 108 126 166 189 249 252 332 378 498 581 747 756 996 1162 1494 1743 2241 2324 2988 3486 4482 5229 6972 8423 8964 10458 15687 16846 20916 25269 31374 33692 50538 58961 62748 75807 101076 117922 151614 176883 227421 235844 303228 353766 454842 530649 699109 707532 909684 1061298 1398218 1591947 2097327 2122596 2796436 3183894 4194654 4893763 6291981 6367788 8389308 9787526 12583962 14681289 18875943 19575052 25167924 29362578 37751886 44043867 58725156 75503772 88087734 132131601 176175468 264263202 528526404