Base | Representation |
---|---|
bin | 10000010100011110000000 |
3 | 22001100111210 |
4 | 100110132000 |
5 | 2043400034 |
6 | 231410120 |
7 | 51235503 |
oct | 20243600 |
9 | 8040453 |
10 | 4278144 |
11 | 2462262 |
12 | 1523940 |
13 | b6a360 |
14 | 7d513a |
15 | 5978e9 |
hex | 414780 |
4278144 has 64 divisors (see below), whose sum is σ = 12252240. Its totient is φ = 1314816.
The previous prime is 4278143. The next prime is 4278179. The reversal of 4278144 is 4418724.
It is a tau number, because it is divible by the number of its divisors (64).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (4278143) 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 7 ways as a sum of consecutive naturals, for example, 4564 + ... + 5420.
Almost surely, 24278144 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 4278144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6126120).
4278144 is an abundant number, since it is smaller than the sum of its proper divisors (7974096).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
4278144 is a wasteful number, since it uses less digits than its factorization.
4278144 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 887 (or 875 counting only the distinct ones).
The product of its digits is 7168, while the sum is 30.
The square root of 4278144 is about 2068.3674721867. The cubic root of 4278144 is about 162.3373552133.
The spelling of 4278144 in words is "four million, two hundred seventy-eight thousand, one hundred forty-four".
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