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528066240 = 2635131719131
BaseRepresentation
bin11111011110011…
…010011011000000
31100210122112200220
4133132122123000
52040141104430
6124222143040
716041326502
oct3736323300
91323575626
10528066240
11251096a89
12128a21a80
1385530b40
14501bdd72
153155e110
hex1f79a6c0

528066240 has 448 divisors, whose sum is σ = 2027773440. Its totient is φ = 115015680.

The previous prime is 528066211. The next prime is 528066277. The reversal of 528066240 is 42660825.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4030975 + ... + 4031105.

It is an arithmetic number, because the mean of its divisors is an integer number (4526280).

Almost surely, 2528066240 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 528066240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1013886720).

528066240 is an abundant number, since it is smaller than the sum of its proper divisors (1499707200).

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

528066240 is a wasteful number, since it uses less digits than its factorization.

528066240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 528066240 is about 22979.6919039399. The cubic root of 528066240 is about 808.2818021731.

The spelling of 528066240 in words is "five hundred twenty-eight million, sixty-six thousand, two hundred forty".