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528681384 = 2333721119239
BaseRepresentation
bin11111100000110…
…000100110101000
31100211210210112000
4133200300212220
52040320301014
6124243251000
716046501100
oct3740604650
91324723460
10528681384
11251477170
12129079a60
13856b7b2a
1450300200
1531631509
hex1f8309a8

528681384 has 384 divisors, whose sum is σ = 1969920000. Its totient is φ = 129548160.

The previous prime is 528681379. The next prime is 528681421. The reversal of 528681384 is 483186825.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2211937 + ... + 2212175.

It is an arithmetic number, because the mean of its divisors is an integer number (5130000).

Almost surely, 2528681384 is an apocalyptic number.

528681384 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 528681384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (984960000).

528681384 is an abundant number, since it is smaller than the sum of its proper divisors (1441238616).

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

528681384 is a wasteful number, since it uses less digits than its factorization.

528681384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298 (or 281 counting only the distinct ones).

The product of its digits is 368640, while the sum is 45.

The square root of 528681384 is about 22993.0725219576. The cubic root of 528681384 is about 808.5955360204.

The spelling of 528681384 in words is "five hundred twenty-eight million, six hundred eighty-one thousand, three hundred eighty-four".