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528133056 = 263112127179
BaseRepresentation
bin11111011110101…
…010101111000000
31100210202221100120
4133132222233000
52040200224211
6124223420240
716042025343
oct3736525700
91323687316
10528133056
11251132200
12128a54680
1385555389
14501da45a
1531573d06
hex1f7aabc0

528133056 has 168 divisors, whose sum is σ = 1556674560. Its totient is φ = 157893120.

The previous prime is 528133049. The next prime is 528133057. The reversal of 528133056 is 650331825.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (528133057) 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 23 ways as a sum of consecutive naturals, for example, 2950375 + ... + 2950553.

It is an arithmetic number, because the mean of its divisors is an integer number (9265920).

Almost surely, 2528133056 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 528133056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (778337280).

528133056 is an abundant number, since it is smaller than the sum of its proper divisors (1028541504).

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

528133056 is a wasteful number, since it uses less digits than its factorization.

528133056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 33.

The square root of 528133056 is about 22981.1456633476. The cubic root of 528133056 is about 808.3158912546.

The spelling of 528133056 in words is "five hundred twenty-eight million, one hundred thirty-three thousand, fifty-six".