Base | Representation |
---|---|
bin | 10011001101010000000000 |
3 | 100110210201210 |
4 | 103031100000 |
5 | 2242110013 |
6 | 255530120 |
7 | 60540216 |
oct | 23152000 |
9 | 10423653 |
10 | 5035008 |
11 | 2929970 |
12 | 1829940 |
13 | 10739c4 |
14 | 950cb6 |
15 | 696cc3 |
hex | 4cd400 |
5035008 has 88 divisors (see below), whose sum is σ = 14738400. Its totient is φ = 1515520.
The previous prime is 5035003. The next prime is 5035021. The reversal of 5035008 is 8005305.
It is a tau number, because it is divible by the number of its divisors (88).
It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (5035003) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (7) of ones.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33718 + ... + 33866.
Almost surely, 25035008 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 5035008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7369200).
5035008 is an abundant number, since it is smaller than the sum of its proper divisors (9703392).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
5035008 is a wasteful number, since it uses less digits than its factorization.
5035008 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 183 (or 165 counting only the distinct ones).
The product of its (nonzero) digits is 600, while the sum is 21.
The square root of 5035008 is about 2243.8823498571. The cubic root of 5035008 is about 171.3957524476.
The spelling of 5035008 in words is "five million, thirty-five thousand, eight".
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