Search a number
-
+
828115008 = 2637616157
BaseRepresentation
bin110001010111000…
…000100001000000
32010201020121020020
4301113000201000
53143444140013
6214101213440
726343601320
oct6127004100
92121217206
10828115008
113954a4076
121b1401280
13102747ba6
147bda7280
154ca7c623
hex315c0840

828115008 has 56 divisors (see below), whose sum is σ = 2504066112. Its totient is φ = 236603904.

The previous prime is 828115003. The next prime is 828115021. The reversal of 828115008 is 800511828.

It is a tau number, because it is divible by the number of its divisors (56).

It is a self number, because there is not a number n which added to its sum of digits gives 828115008.

It is not an unprimeable number, because it can be changed into a prime (828115003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 306735 + ... + 309422.

Almost surely, 2828115008 is an apocalyptic number.

It is an amenable number.

828115008 is an abundant number, since it is smaller than the sum of its proper divisors (1675951104).

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

828115008 is a wasteful number, since it uses less digits than its factorization.

828115008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 616179 (or 616169 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 33.

The square root of 828115008 is about 28776.9874726317. The cubic root of 828115008 is about 939.0676616538.

The spelling of 828115008 in words is "eight hundred twenty-eight million, one hundred fifteen thousand, eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 672 1344 616157 1232314 1848471 2464628 3696942 4313099 4929256 7393884 8626198 9858512 12939297 14787768 17252396 19717024 25878594 29575536 34504792 39434048 51757188 59151072 69009584 103514376 118302144 138019168 207028752 276038336 414057504 828115008