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828577052 = 223112295437
BaseRepresentation
bin110001011000110…
…001010100011100
32010202010002000222
4301120301110130
53144103431202
6214115140512
726350534352
oct6130612434
92122102028
10828577052
1139578a226
121b15a4738
1310287a2a4
147c0877d2
154cb1e4a2
hex3163151c

828577052 has 24 divisors (see below), whose sum is σ = 1498277760. Its totient is φ = 400524480.

The previous prime is 828577051. The next prime is 828577063. The reversal of 828577052 is 250775828.

It is a super-2 number, since 2×8285770522 = 1373079862202021408, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 828576994 and 828577012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (828577051) 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 7 ways as a sum of consecutive naturals, for example, 149678 + ... + 155114.

It is an arithmetic number, because the mean of its divisors is an integer number (62428240).

Almost surely, 2828577052 is an apocalyptic number.

It is an amenable number.

828577052 is a deficient number, since it is larger than the sum of its proper divisors (669700708).

828577052 is a wasteful number, since it uses less digits than its factorization.

828577052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6701 (or 6699 counting only the distinct ones).

The product of its (nonzero) digits is 313600, while the sum is 44.

The square root of 828577052 is about 28785.0143651171. The cubic root of 828577052 is about 939.2422790695.

The spelling of 828577052 in words is "eight hundred twenty-eight million, five hundred seventy-seven thousand, fifty-two".

Divisors: 1 2 4 31 62 124 1229 2458 4916 5437 10874 21748 38099 76198 152396 168547 337094 674188 6682073 13364146 26728292 207144263 414288526 828577052