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528088680 = 233357217587
BaseRepresentation
bin11111011110011…
…111111001101000
31100210200200111000
4133132133321220
52040142314210
6124222435000
716041452100
oct3736377150
91323620430
10528088680
11251101929
12128a32a60
138553b112
14501c8200
1531565ac0
hex1f79fe68

528088680 has 384 divisors, whose sum is σ = 2171836800. Its totient is φ = 113412096.

The previous prime is 528088669. The next prime is 528088681. The reversal of 528088680 is 86880825.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (528088681) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 899347 + ... + 899933.

It is an arithmetic number, because the mean of its divisors is an integer number (5655825).

Almost surely, 2528088680 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 528088680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1085918400).

528088680 is an abundant number, since it is smaller than the sum of its proper divisors (1643748120).

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

528088680 is a wasteful number, since it uses less digits than its factorization.

528088680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 638 (or 621 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 45.

The square root of 528088680 is about 22980.1801559518. The cubic root of 528088680 is about 808.2932512334.

The spelling of 528088680 in words is "five hundred twenty-eight million, eighty-eight thousand, six hundred eighty".