Base | Representation |
---|---|
bin | 100101111101… |
… | …000001000000 |
3 | 200201110210200 |
4 | 211331001000 |
5 | 10021333443 |
6 | 553125200 |
7 | 150365361 |
oct | 45750100 |
9 | 20643720 |
10 | 9949248 |
11 | 5686021 |
12 | 33b9800 |
13 | 20a473a |
14 | 146db68 |
15 | d17dd3 |
hex | 97d040 |
9949248 has 84 divisors (see below), whose sum is σ = 29797248. Its totient is φ = 3168000.
The previous prime is 9949231. The next prime is 9949249. The reversal of 9949248 is 8429499.
It is a nude number because it is divisible by every one of its digits.
It is not an unprimeable number, because it can be changed into a prime (9949249) by changing a digit.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12873 + ... + 13623.
Almost surely, 29949248 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 9949248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14898624).
9949248 is an abundant number, since it is smaller than the sum of its proper divisors (19848000).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
9949248 is a wasteful number, since it uses less digits than its factorization.
9949248 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 792 (or 779 counting only the distinct ones).
The product of its digits is 186624, while the sum is 45.
The square root of 9949248 is about 3154.2428568517. The cubic root of 9949248 is about 215.0783777699.
The spelling of 9949248 in words is "nine million, nine hundred forty-nine thousand, two hundred forty-eight".
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