Base | Representation |
---|---|
bin | 11110101011001111000000 |
3 | 120010112201221 |
4 | 132223033000 |
5 | 4024311113 |
6 | 444204424 |
7 | 125231224 |
oct | 36531700 |
9 | 16115657 |
10 | 8041408 |
11 | 45a26a1 |
12 | 2839714 |
13 | 188723b |
14 | 10d4784 |
15 | a8c98d |
hex | 7ab3c0 |
8041408 has 56 divisors (see below), whose sum is σ = 17830800. Its totient is φ = 3575808.
The previous prime is 8041403. The next prime is 8041457.
8041408 is nontrivially palindromic in base 10.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (8041403) by changing a digit.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20478 + ... + 20866.
Almost surely, 28041408 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 8041408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8915400).
8041408 is an abundant number, since it is smaller than the sum of its proper divisors (9789392).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
8041408 is a wasteful number, since it uses less digits than its factorization.
8041408 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 437 (or 427 counting only the distinct ones).
The product of its (nonzero) digits is 1024, while the sum is 25.
The square root of 8041408 is about 2835.7376465393. The cubic root of 8041408 is about 200.3444730177.
The spelling of 8041408 in words is "eight million, forty-one thousand, four hundred eight".
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