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528452232 = 2337112312433
BaseRepresentation
bin11111011111111…
…000101010001000
31100211101011011220
4133133320222020
52040240432412
6124234322040
716044525030
oct3737705210
91324334156
10528452232
1125132aa90
12128b89320
1385637739
14502808c0
15315d868c
hex1f7f8a88

528452232 has 128 divisors (see below), whose sum is σ = 1718876160. Its totient is φ = 131281920.

The previous prime is 528452231. The next prime is 528452237. The reversal of 528452232 is 232254825.

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

It is a junction number, because it is equal to n+sod(n) for n = 528452193 and 528452202.

It is not an unprimeable number, because it can be changed into a prime (528452231) 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 31 ways as a sum of consecutive naturals, for example, 36288 + ... + 48720.

It is an arithmetic number, because the mean of its divisors is an integer number (13428720).

Almost surely, 2528452232 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 528452232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (859438080).

528452232 is an abundant number, since it is smaller than the sum of its proper divisors (1190423928).

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

528452232 is a wasteful number, since it uses less digits than its factorization.

528452232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12483 (or 12479 counting only the distinct ones).

The product of its digits is 38400, while the sum is 33.

The square root of 528452232 is about 22988.0889157842. The cubic root of 528452232 is about 808.4786930804.

The spelling of 528452232 in words is "five hundred twenty-eight million, four hundred fifty-two thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 23 24 28 33 42 44 46 56 66 69 77 84 88 92 132 138 154 161 168 184 231 253 264 276 308 322 462 483 506 552 616 644 759 924 966 1012 1288 1518 1771 1848 1932 2024 3036 3542 3864 5313 6072 7084 10626 12433 14168 21252 24866 37299 42504 49732 74598 87031 99464 136763 149196 174062 261093 273526 285959 298392 348124 410289 522186 547052 571918 696248 820578 857877 957341 1044372 1094104 1143836 1641156 1715754 1914682 2001713 2088744 2287672 2872023 3145549 3282312 3431508 3829364 4003426 5744046 6005139 6291098 6863016 7658728 8006852 9436647 11488092 12010278 12582196 16013704 18873294 22018843 22976184 24020556 25164392 37746588 44037686 48041112 66056529 75493176 88075372 132113058 176150744 264226116 528452232