Base | Representation |
---|---|
bin | 11111111001011101000000 |
3 | 120201211020000 |
4 | 133321131000 |
5 | 4120034132 |
6 | 455120000 |
7 | 131034255 |
oct | 37713500 |
9 | 16654200 |
10 | 8361792 |
11 | 47a137a |
12 | 2973000 |
13 | 196a00a |
14 | 117942c |
15 | b0287c |
hex | 7f9740 |
8361792 has 70 divisors (see below), whose sum is σ = 24802338. Its totient is φ = 2785536.
The previous prime is 8361779. The next prime is 8361803. The reversal of 8361792 is 2971638.
8361792 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in only one way, i.e., 7485696 + 876096 = 2736^2 + 936^2 .
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 4378 + ... + 5990.
Almost surely, 28361792 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 8361792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12401169).
8361792 is an abundant number, since it is smaller than the sum of its proper divisors (16440546).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
8361792 is a wasteful number, since it uses less digits than its factorization.
8361792 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1637 (or 1618 counting only the distinct ones).
The product of its digits is 18144, while the sum is 36.
The square root of 8361792 is about 2891.6763304353. The cubic root of 8361792 is about 202.9705927780.
It can be divided in two parts, 836 and 1792, that added together give a triangular number (2628 = T72).
The spelling of 8361792 in words is "eight million, three hundred sixty-one thousand, seven hundred ninety-two".
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