Base | Representation |
---|---|
bin | 100001010010… |
… | …111010101100 |
3 | 121102102220000 |
4 | 201102322230 |
5 | 4213300421 |
6 | 511024300 |
7 | 134121516 |
oct | 41227254 |
9 | 17372800 |
10 | 8728236 |
11 | 4a21720 |
12 | 2b0b090 |
13 | 1a67a4a |
14 | 1232bb6 |
15 | b76226 |
hex | 852eac |
8728236 has 120 divisors (see below), whose sum is σ = 26019840. Its totient is φ = 2527200.
The previous prime is 8728211. The next prime is 8728241. The reversal of 8728236 is 6328278.
It is a happy number.
8728236 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.
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 84 + 72 + 216 + 86 + 223 + 33 + 65 .
Its product of digits (32256) is a multiple of the sum of its prime divisors (126).
It is a self number, because there is not a number n which added to its sum of digits gives 8728236.
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 39 ways as a sum of consecutive naturals, for example, 110445 + ... + 110523.
It is an arithmetic number, because the mean of its divisors is an integer number (216832).
Almost surely, 28728236 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 8728236, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13009920).
8728236 is an abundant number, since it is smaller than the sum of its proper divisors (17291604).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
8728236 is a wasteful number, since it uses less digits than its factorization.
8728236 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 137 (or 126 counting only the distinct ones).
The product of its digits is 32256, while the sum is 36.
The square root of 8728236 is about 2954.3588136853. The cubic root of 8728236 is about 205.8932742794.
The spelling of 8728236 in words is "eight million, seven hundred twenty-eight thousand, two hundred thirty-six".
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