Base | Representation |
---|---|
bin | 10010011100101000000000 |
3 | 100002200112012 |
4 | 102130220000 |
5 | 2214221330 |
6 | 251352052 |
7 | 56050442 |
oct | 22345000 |
9 | 10080465 |
10 | 4835840 |
11 | 2803269 |
12 | 1752628 |
13 | 1004159 |
14 | 8dc492 |
15 | 657c95 |
hex | 49ca00 |
4835840 has 40 divisors (see below), whose sum is σ = 11600820. Its totient is φ = 1933312.
The previous prime is 4835839. The next prime is 4835843. The reversal of 4835840 is 485384.
It can be written as a sum of positive squares in 2 ways, for example, as 4804864 + 30976 = 2192^2 + 176^2 .
It is a tau number, because it is divible by the number of its divisors (40).
It is a Harshad number since it is a multiple of its sum of digits (32).
It is a junction number, because it is equal to n+sod(n) for n = 4835797 and 4835806.
It is not an unprimeable number, because it can be changed into a prime (4835843) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (7) of ones.
It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1616 + ... + 3504.
Almost surely, 24835840 is an apocalyptic number.
4835840 is a gapful number since it is divisible by the number (40) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 4835840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5800410).
4835840 is an abundant number, since it is smaller than the sum of its proper divisors (6764980).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
4835840 is an equidigital number, since it uses as much as digits as its factorization.
4835840 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1912 (or 1896 counting only the distinct ones).
The product of its (nonzero) digits is 15360, while the sum is 32.
The square root of 4835840 is about 2199.0543422117. The cubic root of 4835840 is about 169.1053344711.
The spelling of 4835840 in words is "four million, eight hundred thirty-five thousand, eight hundred forty".
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