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828116208 = 24325750807
BaseRepresentation
bin110001010111000…
…000110011110000
32010201020122212200
4301113000303300
53143444204313
6214101223200
726343604653
oct6127006360
92121218780
10828116208
113954a4a67
121b1401b00
131027485ba
147bda789a
154ca7cb73
hex315c0cf0

828116208 has 30 divisors (see below), whose sum is σ = 2317575624. Its totient is φ = 276038688.

The previous prime is 828116207. The next prime is 828116221. The reversal of 828116208 is 802611828.

828116208 is a `hidden beast` number, since 8 + 28 + 1 + 1 + 620 + 8 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (828116207) 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 5 ways as a sum of consecutive naturals, for example, 2875260 + ... + 2875547.

Almost surely, 2828116208 is an apocalyptic number.

It is an amenable number.

828116208 is an abundant number, since it is smaller than the sum of its proper divisors (1489459416).

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

828116208 is a wasteful number, since it uses less digits than its factorization.

828116208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5750821 (or 5750812 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The square root of 828116208 is about 28777.0083226176. The cubic root of 828116208 is about 939.0681152465.

The spelling of 828116208 in words is "eight hundred twenty-eight million, one hundred sixteen thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 5750807 11501614 17252421 23003228 34504842 46006456 51757263 69009684 92012912 103514526 138019368 207029052 276038736 414058104 828116208