Base | Representation |
---|---|
bin | 100101011010… |
… | …111111000000 |
3 | 200110101121000 |
4 | 211122333000 |
5 | 10002403411 |
6 | 550132000 |
7 | 146245110 |
oct | 45327700 |
9 | 20411530 |
10 | 9809856 |
11 | 55a0321 |
12 | 3351000 |
13 | 2056164 |
14 | 1435040 |
15 | cdb956 |
hex | 95afc0 |
9809856 has 112 divisors (see below), whose sum is σ = 32999680. Its totient is φ = 2799360.
The previous prime is 9809843. The next prime is 9809893. The reversal of 9809856 is 6589089.
9809856 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (112).
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11691 + ... + 12501.
It is an arithmetic number, because the mean of its divisors is an integer number (294640).
Almost surely, 29809856 is an apocalyptic number.
9809856 is a gapful number since it is divisible by the number (96) 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 9809856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16499840).
9809856 is an abundant number, since it is smaller than the sum of its proper divisors (23189824).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
9809856 is a wasteful number, since it uses less digits than its factorization.
9809856 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 839 (or 823 counting only the distinct ones).
The product of its (nonzero) digits is 155520, while the sum is 45.
The square root of 9809856 is about 3132.0689647580. The cubic root of 9809856 is about 214.0692121894.
The spelling of 9809856 in words is "nine million, eight hundred nine thousand, eight hundred fifty-six".
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