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528305300 = 225240912917
BaseRepresentation
bin11111011111010…
…100110010010100
31100211002200121222
4133133110302110
52040221232200
6124231225512
716043343455
oct3737246224
91324080558
10528305300
1125123a656
12128b18298
13855b58b3
145024312c
15315a9d85
hex1f7d4c94

528305300 has 36 divisors (see below), whose sum is σ = 1149314460. Its totient is φ = 210789120.

The previous prime is 528305287. The next prime is 528305303. The reversal of 528305300 is 3503825.

It can be written as a sum of positive squares in 6 ways, for example, as 8282884 + 520022416 = 2878^2 + 22804^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 528305300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (528305303) 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 11 ways as a sum of consecutive naturals, for example, 34442 + ... + 47358.

Almost surely, 2528305300 is an apocalyptic number.

528305300 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

528305300 is an abundant number, since it is smaller than the sum of its proper divisors (621009160).

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

528305300 is a wasteful number, since it uses less digits than its factorization.

528305300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13340 (or 13333 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 26.

The square root of 528305300 is about 22984.8928646622. The cubic root of 528305300 is about 808.4037557474.

The spelling of 528305300 in words is "five hundred twenty-eight million, three hundred five thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 409 818 1636 2045 4090 8180 10225 12917 20450 25834 40900 51668 64585 129170 258340 322925 645850 1291700 5283053 10566106 21132212 26415265 52830530 105661060 132076325 264152650 528305300