Base | Representation |
---|---|
bin | 100001111110… |
… | …100011100000 |
3 | 121202112002000 |
4 | 201332203200 |
5 | 4240010401 |
6 | 514524000 |
7 | 135464601 |
oct | 41764340 |
9 | 17675060 |
10 | 8906976 |
11 | 5033a41 |
12 | 2b96600 |
13 | 1acb200 |
14 | 127bda8 |
15 | bae186 |
hex | 87e8e0 |
8906976 has 144 divisors (see below), whose sum is σ = 28591920. Its totient is φ = 2695680.
The previous prime is 8906969. The next prime is 8907007. The reversal of 8906976 is 6796098.
It is a tau number, because it is divible by the number of its divisors (144).
It is a congruent number.
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 23 ways as a sum of consecutive naturals, for example, 145986 + ... + 146046.
It is an arithmetic number, because the mean of its divisors is an integer number (198555).
Almost surely, 28906976 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 8906976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14295960).
8906976 is an abundant number, since it is smaller than the sum of its proper divisors (19684944).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
8906976 is a wasteful number, since it uses less digits than its factorization.
8906976 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 106 (or 79 counting only the distinct ones).
The product of its (nonzero) digits is 163296, while the sum is 45.
The square root of 8906976 is about 2984.4557292746. The cubic root of 8906976 is about 207.2892406889.
The spelling of 8906976 in words is "eight million, nine hundred six thousand, nine hundred seventy-six".
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