Base | Representation |
---|---|
bin | 100101110101… |
… | …110101000000 |
3 | 200122222102022 |
4 | 211311311000 |
5 | 10014413213 |
6 | 552341012 |
7 | 150213503 |
oct | 45656500 |
9 | 20588368 |
10 | 9919808 |
11 | 5665998 |
12 | 33a4768 |
13 | 2094212 |
14 | 146313a |
15 | d0e308 |
hex | 975d40 |
9919808 has 42 divisors (see below), whose sum is σ = 20647914. Its totient is φ = 4728064.
The previous prime is 9919727. The next prime is 9919813. The reversal of 9919808 is 8089199.
It can be written as a sum of positive squares in only one way, i.e., 9784384 + 135424 = 3128^2 + 368^2 .
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 33710 + ... + 34002.
It is an arithmetic number, because the mean of its divisors is an integer number (491617).
Almost surely, 29919808 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 9919808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10323957).
9919808 is an abundant number, since it is smaller than the sum of its proper divisors (10728106).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
9919808 is a wasteful number, since it uses less digits than its factorization.
9919808 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 351 (or 318 counting only the distinct ones).
The product of its (nonzero) digits is 46656, while the sum is 44.
The square root of 9919808 is about 3149.5726694268. The cubic root of 9919808 is about 214.8660279475.
Subtracting from 9919808 its reverse (8089199), we obtain a square (1830609 = 13532).
The spelling of 9919808 in words is "nine million, nine hundred nineteen thousand, eight hundred eight".
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