Base | Representation |
---|---|
bin | 1010110011011001101000 |
3 | 12022212202000 |
4 | 22303121220 |
5 | 1211110401 |
6 | 140411000 |
7 | 33033330 |
oct | 12633150 |
9 | 5285660 |
10 | 2831976 |
11 | 1664784 |
12 | b46a60 |
13 | 782034 |
14 | 53a0c0 |
15 | 3ae186 |
hex | 2b3668 |
2831976 has 64 divisors (see below), whose sum is σ = 8995200. Its totient is φ = 808704.
The previous prime is 2831971. The next prime is 2831999. The reversal of 2831976 is 6791382.
2831976 is digitally balanced in base 2, 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 nude number because it is divisible by every one of its digits.
It is one of the 548 Lynch-Bell numbers.
It is a self number, because there is not a number n which added to its sum of digits gives 2831976.
It is not an unprimeable number, because it can be changed into a prime (2831971) by changing a digit.
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 15 ways as a sum of consecutive naturals, for example, 576 + ... + 2448.
It is an arithmetic number, because the mean of its divisors is an integer number (140550).
22831976 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 2831976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4497600).
2831976 is an abundant number, since it is smaller than the sum of its proper divisors (6163224).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2831976 is a wasteful number, since it uses less digits than its factorization.
2831976 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1895 (or 1885 counting only the distinct ones).
The product of its digits is 18144, while the sum is 36.
The square root of 2831976 is about 1682.8475866816. The cubic root of 2831976 is about 141.4804794375.
The spelling of 2831976 in words is "two million, eight hundred thirty-one thousand, nine hundred seventy-six".
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