Search a number
-
+
2008619008 = 21111163547
BaseRepresentation
bin111011110111001…
…0001100000000000
312011222120102021121
41313232101200000
513103201302013
6531151402024
7100526660044
oct16756214000
95158512247
102008619008
119408a4210
12480823314
132601a4476
14150aa0024
15bb51658d
hex77b91800

2008619008 has 96 divisors (see below), whose sum is σ = 4416310080. Its totient is φ = 905748480.

The previous prime is 2008618949. The next prime is 2008619023. The reversal of 2008619008 is 8009168002.

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, 3671791 + ... + 3672337.

It is an arithmetic number, because the mean of its divisors is an integer number (46003230).

Almost surely, 22008619008 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 2008619008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2208155040).

2008619008 is an abundant number, since it is smaller than the sum of its proper divisors (2407691072).

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

2008619008 is a wasteful number, since it uses less digits than its factorization.

2008619008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 743 (or 723 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 34.

The square root of 2008619008 is about 44817.6193923774. The cubic root of 2008619008 is about 1261.7283344772.

The spelling of 2008619008 in words is "two billion, eight million, six hundred nineteen thousand, eight".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 163 176 256 326 352 512 547 652 704 1024 1094 1304 1408 1793 2048 2188 2608 2816 3586 4376 5216 5632 6017 7172 8752 10432 11264 12034 14344 17504 20864 22528 24068 28688 35008 41728 48136 57376 70016 83456 89161 96272 114752 140032 166912 178322 192544 229504 280064 333824 356644 385088 459008 560128 713288 770176 918016 980771 1120256 1426576 1540352 1836032 1961542 2853152 3080704 3672064 3923084 5706304 6161408 7846168 11412608 12322816 15692336 22825216 31384672 45650432 62769344 91300864 125538688 182601728 251077376 502154752 1004309504 2008619008