Base | Representation |
---|---|
bin | 100000000001… |
… | …101000100000 |
3 | 120210112011220 |
4 | 200001220200 |
5 | 4122122141 |
6 | 455535040 |
7 | 131234040 |
oct | 40015040 |
9 | 16715156 |
10 | 8395296 |
11 | 4814568 |
12 | 298a480 |
13 | 197c340 |
14 | 1187720 |
15 | b0c766 |
hex | 801a20 |
8395296 has 144 divisors (see below), whose sum is σ = 28026432. Its totient is φ = 2142720.
The previous prime is 8395291. The next prime is 8395313. The reversal of 8395296 is 6925938.
It is a Harshad number since it is a multiple of its sum of digits (42).
It is a d-powerful number, because it can be written as 8 + 33 + 92 + 5 + 223 + 94 + 6 .
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (8395291) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (5) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 270801 + ... + 270831.
It is an arithmetic number, because the mean of its divisors is an integer number (194628).
Almost surely, 28395296 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 8395296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14013216).
8395296 is an abundant number, since it is smaller than the sum of its proper divisors (19631136).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
8395296 is a wasteful number, since it uses less digits than its factorization.
8395296 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 95 (or 56 counting only the distinct ones).
The product of its digits is 116640, while the sum is 42.
The square root of 8395296 is about 2897.4637184959. The cubic root of 8395296 is about 203.2413188136.
It can be divided in two parts, 83952 and 96, that added together give a palindrome (84048).
The spelling of 8395296 in words is "eight million, three hundred ninety-five thousand, two hundred ninety-six".
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