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528200008 = 23724493001
BaseRepresentation
bin11111011110111…
…011000101001000
31100210220100012021
4133132323011020
52040204400013
6124225054224
716042424500
oct3736730510
91323810167
10528200008
11251178536
12128a87374
13855799ab
1450216a00
1531588a8d
hex1f7bb148

528200008 has 48 divisors (see below), whose sum is σ = 1155019500. Its totient is φ = 225792000.

The previous prime is 528199957. The next prime is 528200011. The reversal of 528200008 is 800002825.

It can be written as a sum of positive squares in 2 ways, for example, as 525234724 + 2965284 = 22918^2 + 1722^2 .

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 11 ways as a sum of consecutive naturals, for example, 174508 + ... + 177508.

Almost surely, 2528200008 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 528200008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (577509750).

528200008 is an abundant number, since it is smaller than the sum of its proper divisors (626819492).

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

528200008 is a wasteful number, since it uses less digits than its factorization.

528200008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3470 (or 3459 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 25.

The square root of 528200008 is about 22982.6022895581. The cubic root of 528200008 is about 808.3500468386.

The spelling of 528200008 in words is "five hundred twenty-eight million, two hundred thousand, eight".

Divisors: 1 2 4 7 8 14 28 49 56 98 196 392 449 898 1796 3001 3143 3592 6002 6286 12004 12572 21007 22001 24008 25144 42014 44002 84028 88004 147049 168056 176008 294098 588196 1176392 1347449 2694898 5389796 9432143 10779592 18864286 37728572 66025001 75457144 132050002 264100004 528200008