Base | Representation |
---|---|
bin | 100010011101… |
… | …111010100000 |
3 | 122000001021100 |
4 | 202131322200 |
5 | 4303113144 |
6 | 521354400 |
7 | 136541226 |
oct | 42357240 |
9 | 18001240 |
10 | 9035424 |
11 | 51114a2 |
12 | 3038a00 |
13 | 1b44808 |
14 | 12b2b16 |
15 | bd7269 |
hex | 89dea0 |
9035424 has 72 divisors (see below), whose sum is σ = 25995060. Its totient is φ = 2976768.
The previous prime is 9035399. The next prime is 9035459. The reversal of 9035424 is 4245309.
It can be written as a sum of positive squares in 2 ways, for example, as 8225424 + 810000 = 2868^2 + 900^2 .
It is a tau number, because it is divible by the number of its divisors (72).
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 11 ways as a sum of consecutive naturals, for example, 39342 + ... + 39570.
Almost surely, 29035424 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 9035424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12997530).
9035424 is an abundant number, since it is smaller than the sum of its proper divisors (16959636).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
9035424 is a wasteful number, since it uses less digits than its factorization.
9035424 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 382 (or 371 counting only the distinct ones).
The product of its (nonzero) digits is 4320, while the sum is 27.
The square root of 9035424 is about 3005.8982018691. The cubic root of 9035424 is about 208.2809320297.
The spelling of 9035424 in words is "nine million, thirty-five thousand, four hundred twenty-four".
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