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206808008 = 231119179691
BaseRepresentation
bin11000101001110…
…10001111001000
3112102010221020212
430110322033020
5410420324013
632304340252
75060560541
oct1424721710
9472127225
10206808008
11a6812a10
1259314688
1333acc004
141d6754c8
15132516a8
hexc53a3c8

206808008 has 64 divisors (see below), whose sum is σ = 448416000. Its totient is φ = 88430400.

The previous prime is 206807983. The next prime is 206808013. The reversal of 206808008 is 800808602.

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 15 ways as a sum of consecutive naturals, for example, 298943 + ... + 299633.

It is an arithmetic number, because the mean of its divisors is an integer number (7006500).

Almost surely, 2206808008 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 206808008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224208000).

206808008 is an abundant number, since it is smaller than the sum of its proper divisors (241607992).

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

206808008 is a wasteful number, since it uses less digits than its factorization.

206808008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 906 (or 902 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 32.

The square root of 206808008 is about 14380.8208388812. The cubic root of 206808008 is about 591.3652268991.

The spelling of 206808008 in words is "two hundred six million, eight hundred eight thousand, eight".

Divisors: 1 2 4 8 11 19 22 38 44 76 88 152 179 209 358 418 691 716 836 1382 1432 1672 1969 2764 3401 3938 5528 6802 7601 7876 13129 13604 15202 15752 26258 27208 30404 37411 52516 60808 74822 105032 123689 144419 149644 247378 288838 299288 494756 577676 989512 1155352 1360579 2350091 2721158 4700182 5442316 9400364 10884632 18800728 25851001 51702002 103404004 206808008