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2008830640 = 24537678659
BaseRepresentation
bin111011110111100…
…0101001010110000
312011222222011120211
41313233011022300
513103230040030
6531200113504
7100531531045
oct16757051260
95158864524
102008830640
11940a29213
12480905894
132602498ab
14150b171cc
15bb55912a
hex77bc52b0

2008830640 has 40 divisors (see below), whose sum is σ = 4796768880. Its totient is φ = 781814016.

The previous prime is 2008830631. The next prime is 2008830647. The reversal of 2008830640 is 460388002.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (2008830647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 336370 + ... + 342289.

It is an arithmetic number, because the mean of its divisors is an integer number (119919222).

Almost surely, 22008830640 is an apocalyptic number.

2008830640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2008830640 is an abundant number, since it is smaller than the sum of its proper divisors (2787938240).

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

2008830640 is a wasteful number, since it uses less digits than its factorization.

2008830640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 678709 (or 678703 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 31.

The square root of 2008830640 is about 44819.9803659038. The cubic root of 2008830640 is about 1261.7726456369.

The spelling of 2008830640 in words is "two billion, eight million, eight hundred thirty thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 37 40 74 80 148 185 296 370 592 740 1480 2960 678659 1357318 2714636 3393295 5429272 6786590 10858544 13573180 25110383 27146360 50220766 54292720 100441532 125551915 200883064 251103830 401766128 502207660 1004415320 2008830640