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2828133875 = 53731412543
BaseRepresentation
bin1010100010010001…
…1110010111110011
321022002122002100002
42220210132113303
521243000241000
61144344420215
7130040512160
oct25044362763
97262562302
102828133875
111221453926
1266b17766b
13360bca9c8
141cb869067
151184458d5
hexa891e5f3

2828133875 has 64 divisors (see below), whose sum is σ = 4267081728. Its totient is φ = 1830240000.

The previous prime is 2828133857. The next prime is 2828133883. The reversal of 2828133875 is 5783318282.

It is a happy number.

It is not a de Polignac number, because 2828133875 - 212 = 2828129779 is a prime.

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 63 ways as a sum of consecutive naturals, for example, 1110854 + ... + 1113396.

It is an arithmetic number, because the mean of its divisors is an integer number (66673152).

Almost surely, 22828133875 is an apocalyptic number.

2828133875 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2828133875 is a deficient number, since it is larger than the sum of its proper divisors (1438947853).

2828133875 is a wasteful number, since it uses less digits than its factorization.

2828133875 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2637 (or 2627 counting only the distinct ones).

The product of its digits is 645120, while the sum is 47.

The square root of 2828133875 is about 53180.2019082290. The cubic root of 2828133875 is about 1414.1646857262.

The spelling of 2828133875 in words is "two billion, eight hundred twenty-eight million, one hundred thirty-three thousand, eight hundred seventy-five".

Divisors: 1 5 7 25 31 35 41 125 155 175 205 217 287 775 875 1025 1085 1271 1435 2543 3875 5125 5425 6355 7175 8897 12715 17801 27125 31775 35875 44485 63575 78833 89005 104263 158875 222425 317875 394165 445025 521315 551831 729841 1112125 1970825 2225125 2606575 2759155 3232153 3649205 9854125 13032875 13795775 16160765 18246025 22625071 68978875 80803825 91230125 113125355 404019125 565626775 2828133875