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828208836 = 2232713219447
BaseRepresentation
bin110001010111010…
…111011011000100
32010201102100221100
4301113113123010
53144010140321
6214103220100
726344442010
oct6127273304
92121370840
10828208836
11395558614
121b1447630
1310277b800
147bdcd540
154ca9a326
hex315d76c4

828208836 has 108 divisors (see below), whose sum is σ = 2590940352. Its totient is φ = 218417472.

The previous prime is 828208831. The next prime is 828208847. The reversal of 828208836 is 638802828.

It is a junction number, because it is equal to n+sod(n) for n = 828208791 and 828208800.

It is not an unprimeable number, because it can be changed into a prime (828208831) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 32865 + ... + 52311.

Almost surely, 2828208836 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 828208836, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1295470176).

828208836 is an abundant number, since it is smaller than the sum of its proper divisors (1762731516).

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

828208836 is a wasteful number, since it uses less digits than its factorization.

828208836 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19490 (or 19472 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The square root of 828208836 is about 28778.6176874429. The cubic root of 828208836 is about 939.1031267411.

The spelling of 828208836 in words is "eight hundred twenty-eight million, two hundred eight thousand, eight hundred thirty-six".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 36 39 42 52 63 78 84 91 117 126 156 169 182 234 252 273 338 364 468 507 546 676 819 1014 1092 1183 1521 1638 2028 2366 3042 3276 3549 4732 6084 7098 10647 14196 19447 21294 38894 42588 58341 77788 116682 136129 175023 233364 252811 272258 350046 408387 505622 544516 700092 758433 816774 1011244 1225161 1516866 1633548 1769677 2275299 2450322 3033732 3286543 3539354 4550598 4900644 5309031 6573086 7078708 9101196 9859629 10618062 13146172 15927093 19719258 21236124 23005801 29578887 31854186 39438516 46011602 59157774 63708372 69017403 92023204 118315548 138034806 207052209 276069612 414104418 828208836