Base | Representation |
---|---|
bin | 100000001001… |
… | …000100000000 |
3 | 120212001221000 |
4 | 200021010000 |
5 | 4124110403 |
6 | 500332000 |
7 | 131421543 |
oct | 40110400 |
9 | 16761830 |
10 | 8425728 |
11 | 4835413 |
12 | 29a4000 |
13 | 199014c |
14 | 119485a |
15 | b167a3 |
hex | 809100 |
8425728 has 144 divisors (see below), whose sum is σ = 26490240. Its totient is φ = 2635776.
The previous prime is 8425717. The next prime is 8425741. The reversal of 8425728 is 8275248.
It is a happy number.
8425728 is a `hidden beast` number, since 84 + 2 + 572 + 8 = 666.
It is a tau number, because it is divible by the number of its divisors (144).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a d-powerful number, because it can be written as 82 + 42 + 212 + 56 + 75 + 223 + 83 .
It is a junction number, because it is equal to n+sod(n) for n = 8425692 and 8425701.
It is an unprimeable number.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 158950 + ... + 159002.
It is an arithmetic number, because the mean of its divisors is an integer number (183960).
Almost surely, 28425728 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 8425728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13245120).
8425728 is an abundant number, since it is smaller than the sum of its proper divisors (18064512).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
8425728 is a wasteful number, since it uses less digits than its factorization.
8425728 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 101 (or 81 counting only the distinct ones).
The product of its digits is 35840, while the sum is 36.
The square root of 8425728 is about 2902.7104574862. The cubic root of 8425728 is about 203.4865982920.
The spelling of 8425728 in words is "eight million, four hundred twenty-five thousand, seven hundred twenty-eight".
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