Base | Representation |
---|---|
bin | 111011110110101… |
… | …1101100110000000 |
3 | 12011222011121122020 |
4 | 1313231131212000 |
5 | 13103123001100 |
6 | 531143041440 |
7 | 100525113150 |
oct | 16755354600 |
9 | 5158147566 |
10 | 2008406400 |
11 | 940769500 |
12 | 480740280 |
13 | 26012b770 |
14 | 150a46760 |
15 | bb4c35a0 |
hex | 77b5d980 |
2008406400 has 1152 divisors, whose sum is σ = 9420230400. Its totient is φ = 364953600.
The previous prime is 2008406377. The next prime is 2008406417. The reversal of 2008406400 is 46048002.
It is a super-3 number, since 3×20084064003 (a number of 29 digits) contains 333 as substring.
It is a Harshad number since it is a multiple of its sum of digits (24).
It is a congruent number.
It is an unprimeable number.
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 143 ways as a sum of consecutive naturals, for example, 105705591 + ... + 105705609.
Almost surely, 22008406400 is an apocalyptic number.
2008406400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 2008406400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4710115200).
2008406400 is an abundant number, since it is smaller than the sum of its proper divisors (7411824000).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2008406400 is a wasteful number, since it uses less digits than its factorization.
2008406400 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 88 (or 60 counting only the distinct ones).
The product of its (nonzero) digits is 1536, while the sum is 24.
The square root of 2008406400 is about 44815.2474053195. The cubic root of 2008406400 is about 1261.6838158299.
The spelling of 2008406400 in words is "two billion, eight million, four hundred six thousand, four hundred".
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