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528494130 = 2325171093169
BaseRepresentation
bin11111100000000…
…010111000110010
31100211110021122200
4133200002320302
52040243303010
6124235244030
716045061133
oct3740027062
91324407580
10528494130
1125135950a
12128ba9616
1385650828
1450291c8a
15315e5cc0
hex1f802e32

528494130 has 96 divisors (see below), whose sum is σ = 1468724400. Its totient is φ = 131383296.

The previous prime is 528494119. The next prime is 528494137. The reversal of 528494130 is 31494825.

It can be written as a sum of positive squares in 8 ways, for example, as 436851801 + 91642329 = 20901^2 + 9573^2 .

It is not an unprimeable number, because it can be changed into a prime (528494137) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 165186 + ... + 168354.

Almost surely, 2528494130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 528494130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (734362200).

528494130 is an abundant number, since it is smaller than the sum of its proper divisors (940230270).

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

528494130 is a wasteful number, since it uses less digits than its factorization.

528494130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3308 (or 3305 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 528494130 is about 22989.0001957458. Note that the first 3 decimals coincide. The cubic root of 528494130 is about 808.5000590892.

The spelling of 528494130 in words is "five hundred twenty-eight million, four hundred ninety-four thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 17 18 30 34 45 51 85 90 102 109 153 170 218 255 306 327 510 545 654 765 981 1090 1530 1635 1853 1962 3169 3270 3706 4905 5559 6338 9265 9507 9810 11118 15845 16677 18530 19014 27795 28521 31690 33354 47535 53873 55590 57042 83385 95070 107746 142605 161619 166770 269365 285210 323238 345421 484857 538730 690842 808095 969714 1036263 1616190 1727105 2072526 2424285 3108789 3454210 4848570 5181315 5872157 6217578 10362630 11744314 15543945 17616471 29360785 31087890 35232942 52849413 58721570 88082355 105698826 176164710 264247065 528494130