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2008020882 = 237237318311
BaseRepresentation
bin111011110101111…
…1111011110010010
312011221110000210210
41313223333132102
513103023132012
6531130504550
7100521616200
oct16753773622
95157400723
102008020882
1194052589a
12480595156
1326002514a
14150986070
15bb44923c
hex77aff792

2008020882 has 48 divisors (see below), whose sum is σ = 4684502592. Its totient is φ = 572150880.

The previous prime is 2008020881. The next prime is 2008020899. The reversal of 2008020882 is 2880208002.

It is not an unprimeable number, because it can be changed into a prime (2008020881) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 100507 + ... + 118817.

It is an arithmetic number, because the mean of its divisors is an integer number (97593804).

Almost surely, 22008020882 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2008020882, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2342251296).

2008020882 is an abundant number, since it is smaller than the sum of its proper divisors (2676481710).

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

2008020882 is a wasteful number, since it uses less digits than its factorization.

2008020882 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18703 (or 18696 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 30.

The square root of 2008020882 is about 44810.9460065284. The cubic root of 2008020882 is about 1261.6030830084.

Adding to 2008020882 its reverse (2880208002), we get a palindrome (4888228884).

The spelling of 2008020882 in words is "two billion, eight million, twenty thousand, eight hundred eighty-two".

Divisors: 1 2 3 6 7 14 21 42 49 98 147 294 373 746 1119 2238 2611 5222 7833 15666 18277 18311 36554 36622 54831 54933 109662 109866 128177 256354 384531 769062 897239 1794478 2691717 5383434 6830003 13660006 20490009 40980018 47810021 95620042 143430063 286860126 334670147 669340294 1004010441 2008020882