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828560012 = 227210938783
BaseRepresentation
bin110001011000101…
…101001010001100
32010202002012122212
4301120231022030
53144102410022
6214114525552
726350433600
oct6130551214
92122065585
10828560012
11395778445
121b15968b8
131028725c7
147c081500
154cb193e2
hex3162d28c

828560012 has 36 divisors (see below), whose sum is σ = 1702229760. Its totient is φ = 351830304.

The previous prime is 828559997. The next prime is 828560087. The reversal of 828560012 is 210065828.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 1973 + ... + 40755.

It is an arithmetic number, because the mean of its divisors is an integer number (47284160).

Almost surely, 2828560012 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 828560012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (851114880).

828560012 is an abundant number, since it is smaller than the sum of its proper divisors (873669748).

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

828560012 is a wasteful number, since it uses less digits than its factorization.

828560012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38910 (or 38901 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 32.

The square root of 828560012 is about 28784.7183762496. The cubic root of 828560012 is about 939.2358404013.

The spelling of 828560012 in words is "eight hundred twenty-eight million, five hundred sixty thousand, twelve".

Divisors: 1 2 4 7 14 28 49 98 109 196 218 436 763 1526 3052 5341 10682 21364 38783 77566 155132 271481 542962 1085924 1900367 3800734 4227347 7601468 8454694 16909388 29591429 59182858 118365716 207140003 414280006 828560012