Base | Representation |
---|---|
bin | 100110000100… |
… | …000000000000 |
3 | 200202221001020 |
4 | 212010000000 |
5 | 10023242411 |
6 | 553505440 |
7 | 150544650 |
oct | 46040000 |
9 | 20687036 |
10 | 9977856 |
11 | 56a5569 |
12 | 3412280 |
13 | 20b4775 |
14 | 147a360 |
15 | d21606 |
hex | 984000 |
9977856 has 120 divisors (see below), whose sum is σ = 31456320. Its totient is φ = 2752512.
The previous prime is 9977839. The next prime is 9977867. The reversal of 9977856 is 6587799.
It is a super-2 number, since 2×99778562 = 199115220713472, which contains 22 as substring.
It is a nialpdrome in base 16.
It is a junction number, because it is equal to n+sod(n) for n = 9977799 and 9977808.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 344050 + ... + 344078.
It is an arithmetic number, because the mean of its divisors is an integer number (262136).
Almost surely, 29977856 is an apocalyptic number.
9977856 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 9977856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15728160).
9977856 is an abundant number, since it is smaller than the sum of its proper divisors (21478464).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
9977856 is an equidigital number, since it uses as much as digits as its factorization.
9977856 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 67 (or 41 counting only the distinct ones).
The product of its digits is 952560, while the sum is 51.
The square root of 9977856 is about 3158.7744458888. The cubic root of 9977856 is about 215.2843254703.
The spelling of 9977856 in words is "nine million, nine hundred seventy-seven thousand, eight hundred fifty-six".
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