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528839664 = 243311312713
BaseRepresentation
bin11111100001010…
…111001111110000
31100212002211122020
4133201113033300
52040340332124
6124250511440
716051030413
oct3741271760
91325084566
10528839664
11251575081
12129135580
1385741ba2
1450341b7a
1531663379
hex1f8573f0

528839664 has 80 divisors (see below), whose sum is σ = 1421528064. Its totient is φ = 169228800.

The previous prime is 528839657. The next prime is 528839699. The reversal of 528839664 is 466938825.

Its product of digits (2488320) is a multiple of the sum of its prime divisors (2880).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 193572 + ... + 196284.

Almost surely, 2528839664 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 528839664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (710764032).

528839664 is an abundant number, since it is smaller than the sum of its proper divisors (892688400).

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

528839664 is a wasteful number, since it uses less digits than its factorization.

528839664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2886 (or 2880 counting only the distinct ones).

The product of its digits is 2488320, while the sum is 51.

The square root of 528839664 is about 22996.5141706303. The cubic root of 528839664 is about 808.6762221294.

The spelling of 528839664 in words is "five hundred twenty-eight million, eight hundred thirty-nine thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 62 93 124 131 186 248 262 372 393 496 524 744 786 1048 1488 1572 2096 2713 3144 4061 5426 6288 8122 8139 10852 12183 16244 16278 21704 24366 32488 32556 43408 48732 64976 65112 84103 97464 130224 168206 194928 252309 336412 355403 504618 672824 710806 1009236 1066209 1345648 1421612 2018472 2132418 2843224 4036944 4264836 5686448 8529672 11017493 17059344 22034986 33052479 44069972 66104958 88139944 132209916 176279888 264419832 528839664