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828020625 = 3544110771
BaseRepresentation
bin110001010110101…
…001011110010001
32010201001210202120
4301112221132101
53143433130000
6214055204453
726343026205
oct6126513621
92121053676
10828020625
1139543a173
121b1376729
13102713c43
147bd80b05
154ca5e6a0
hex315a9791

828020625 has 40 divisors (see below), whose sum is σ = 1413372576. Its totient is φ = 430800000.

The previous prime is 828020623. The next prime is 828020647. The reversal of 828020625 is 526020828.

828020625 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 828020625 - 21 = 828020623 is a prime.

It is not an unprimeable number, because it can be changed into a prime (828020621) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 71490 + ... + 82260.

Almost surely, 2828020625 is an apocalyptic number.

It is an amenable number.

828020625 is a deficient number, since it is larger than the sum of its proper divisors (585351951).

828020625 is a wasteful number, since it uses less digits than its factorization.

828020625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10835 (or 10820 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The square root of 828020625 is about 28775.3475217937. The cubic root of 828020625 is about 939.0319840850.

The spelling of 828020625 in words is "eight hundred twenty-eight million, twenty thousand, six hundred twenty-five".

Divisors: 1 3 5 15 25 41 75 123 125 205 375 615 625 1025 1875 3075 5125 10771 15375 25625 32313 53855 76875 161565 269275 441611 807825 1324833 1346375 2208055 4039125 6624165 6731875 11040275 20195625 33120825 55201375 165604125 276006875 828020625