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206382008 = 2377394987
BaseRepresentation
bin11000100110100…
…10001110111000
3112101100021220002
430103102032320
5410313211013
632251252132
75054134550
oct1423221670
9471307802
10206382008
11a6551948
125914a048
13339b0141
141d5a4160
15131ba358
hexc4d23b8

206382008 has 32 divisors (see below), whose sum is σ = 442934400. Its totient is φ = 88312032.

The previous prime is 206381999. The next prime is 206382031. The reversal of 206382008 is 800283602.

It is a super-2 number, since 2×2063820082 = 85187066452224128, which contains 22 as substring.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 38891 + ... + 43877.

It is an arithmetic number, because the mean of its divisors is an integer number (13841700).

Almost surely, 2206382008 is an apocalyptic number.

206382008 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

206382008 is an abundant number, since it is smaller than the sum of its proper divisors (236552392).

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

206382008 is a wasteful number, since it uses less digits than its factorization.

206382008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5739 (or 5735 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

The square root of 206382008 is about 14366.0018098286. The cubic root of 206382008 is about 590.9589003364.

The spelling of 206382008 in words is "two hundred six million, three hundred eighty-two thousand, eight".

Divisors: 1 2 4 7 8 14 28 56 739 1478 2956 4987 5173 5912 9974 10346 19948 20692 34909 39896 41384 69818 139636 279272 3685393 7370786 14741572 25797751 29483144 51595502 103191004 206382008