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828080604 = 223313678803
BaseRepresentation
bin110001010110111…
…000000111011100
32010201011212001000
4301112320013130
53143442034404
6214100350300
726343366111
oct6126700734
92121155030
10828080604
1139548023a
121b13a5390
13102735330
147bd98908
154ca72339
hex315b81dc

828080604 has 96 divisors (see below), whose sum is σ = 2346794240. Its totient is φ = 250962624.

The previous prime is 828080599. The next prime is 828080633. The reversal of 828080604 is 406080828.

828080604 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 89667 + ... + 98469.

Almost surely, 2828080604 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 828080604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1173397120).

828080604 is an abundant number, since it is smaller than the sum of its proper divisors (1518713636).

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

828080604 is a wasteful number, since it uses less digits than its factorization.

828080604 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8896 (or 8888 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 828080604 is about 28776.3896971111. The cubic root of 828080604 is about 939.0546569661.

The spelling of 828080604 in words is "eight hundred twenty-eight million, eighty thousand, six hundred four".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 67 78 108 117 134 156 201 234 268 351 402 468 603 702 804 871 1206 1404 1742 1809 2412 2613 3484 3618 5226 7236 7839 8803 10452 15678 17606 23517 26409 31356 35212 47034 52818 79227 94068 105636 114439 158454 228878 237681 316908 343317 457756 475362 589801 686634 950724 1029951 1179602 1373268 1769403 2059902 2359204 3089853 3538806 4119804 5308209 6179706 7077612 7667413 10616418 12359412 15334826 15924627 21232836 23002239 30669652 31849254 46004478 63698508 69006717 92008956 138013434 207020151 276026868 414040302 828080604