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528382980 = 223358311789
BaseRepresentation
bin11111011111100…
…111110000000100
31100211020122012000
4133133213300010
52040231223410
6124233025300
716044116106
oct3737476004
91324218160
10528382980
11251292a54
12128b55230
1385612068
1450263576
15315c2dc0
hex1f7e7c04

528382980 has 96 divisors (see below), whose sum is σ = 1663804800. Its totient is φ = 139192704.

The previous prime is 528382963. The next prime is 528382993. The reversal of 528382980 is 89283825.

528382980 is a `hidden beast` number, since 528 + 38 + 2 + 98 + 0 = 666.

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

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 31 ways as a sum of consecutive naturals, for example, 38926 + ... + 50714.

It is an arithmetic number, because the mean of its divisors is an integer number (17331300).

Almost surely, 2528382980 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 528382980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (831902400).

528382980 is an abundant number, since it is smaller than the sum of its proper divisors (1135421820).

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

528382980 is a wasteful number, since it uses less digits than its factorization.

528382980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11890 (or 11882 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 528382980 is about 22986.5826081216. The cubic root of 528382980 is about 808.4433753425.

The spelling of 528382980 in words is "five hundred twenty-eight million, three hundred eighty-two thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 83 90 108 135 166 180 249 270 332 415 498 540 747 830 996 1245 1494 1660 2241 2490 2988 3735 4482 4980 7470 8964 11205 11789 14940 22410 23578 35367 44820 47156 58945 70734 106101 117890 141468 176835 212202 235780 318303 353670 424404 530505 636606 707340 978487 1061010 1273212 1591515 1956974 2122020 2935461 3183030 3913948 4892435 5870922 6366060 8806383 9784870 11741844 14677305 17612766 19569740 26419149 29354610 35225532 44031915 52838298 58709220 88063830 105676596 132095745 176127660 264191490 528382980