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528 = 24311
BaseRepresentation
bin1000010000
3201120
420100
54103
62240
71353
oct1020
9646
10528
11440
12380
13318
1429a
15253
hex210

528 has 20 divisors (see below), whose sum is σ = 1488. Its totient is φ = 160.

The previous prime is 523. The next prime is 541. The reversal of 528 is 825.

528 is nontrivially palindromic in base 9.

528 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 232-1.

528 is an esthetic number in base 16, because in such base it adjacent digits differ by 1.

528 is a nontrivial binomial coefficient, being equal to C(33, 2).

It is a Sastry number since concatenated with its successor gives a square.

528 is an undulating number in base 9.

Its product of digits (80) is a multiple of the sum of its prime divisors (16).

It is a plaindrome in base 14.

It is a nialpdrome in base 11 and base 16.

It is not an unprimeable number, because it can be changed into a prime (521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (2) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 43 + ... + 53.

2528 is an apocalyptic number.

528 is the 32-nd triangular number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (744).

528 is an abundant number, since it is smaller than the sum of its proper divisors (960).

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

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

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

The sum of its prime factors is 22 (or 16 counting only the distinct ones).

The product of its digits is 80, while the sum is 15.

The square root of 528 is about 22.9782505862. The cubic root of 528 is about 8.0824800412.

The spelling of 528 in words is "five hundred twenty-eight", and is thus an aban number and an oban number.

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528