Base | Representation |
---|---|
bin | 100101111001… |
… | …001111001000 |
3 | 200200200120100 |
4 | 211321033020 |
5 | 10020340033 |
6 | 552525400 |
7 | 150302265 |
oct | 45711710 |
9 | 20620510 |
10 | 9933768 |
11 | 5675429 |
12 | 33b0860 |
13 | 209a690 |
14 | 146826c |
15 | d13513 |
hex | 9793c8 |
9933768 has 48 divisors (see below), whose sum is σ = 28976220. Its totient is φ = 3056256.
The previous prime is 9933761. The next prime is 9933787. The reversal of 9933768 is 8673399.
It is a happy number.
9933768 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 can be written as a sum of positive squares in 2 ways, for example, as 9622404 + 311364 = 3102^2 + 558^2 .
It is not an unprimeable number, because it can be changed into a prime (9933761) 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, 4371 + ... + 6242.
Almost surely, 29933768 is an apocalyptic number.
It is an amenable number.
9933768 is an abundant number, since it is smaller than the sum of its proper divisors (19042452).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
9933768 is a wasteful number, since it uses less digits than its factorization.
9933768 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 10638 (or 10631 counting only the distinct ones).
The product of its digits is 244944, while the sum is 45.
The square root of 9933768 is about 3151.7880639408. The cubic root of 9933768 is about 214.9667733041.
It can be divided in two parts, 9933 and 768, that added together give a palindrome (10701).
The spelling of 9933768 in words is "nine million, nine hundred thirty-three thousand, seven hundred sixty-eight".
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