Base | Representation |
---|---|
bin | 10000001101010000000000 |
3 | 21222211221200 |
4 | 100031100000 |
5 | 2041423301 |
6 | 231021200 |
7 | 51053343 |
oct | 20152000 |
9 | 7884850 |
10 | 4248576 |
11 | 2442022 |
12 | 150a800 |
13 | b59a67 |
14 | 7c845a |
15 | 58dc86 |
hex | 40d400 |
4248576 has 66 divisors (see below), whose sum is σ = 12294282. Its totient is φ = 1413120.
The previous prime is 4248557. The next prime is 4248611. The reversal of 4248576 is 6758424.
4248576 is a `hidden beast` number, since 42 + 48 + 576 = 666.
4248576 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., 3326976 + 921600 = 1824^2 + 960^2 .
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a d-powerful number, because it can be written as 46 + 222 + 47 + 82 + 56 + 75 + 64 .
It is a self number, because there is not a number n which added to its sum of digits gives 4248576.
It is a congruent number.
It is an unprimeable number.
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 5 ways as a sum of consecutive naturals, for example, 8986 + ... + 9446.
It is an arithmetic number, because the mean of its divisors is an integer number (186277).
Almost surely, 24248576 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 4248576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6147141).
4248576 is an abundant number, since it is smaller than the sum of its proper divisors (8045706).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
4248576 is a wasteful number, since it uses less digits than its factorization.
4248576 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 487 (or 466 counting only the distinct ones).
The product of its digits is 53760, while the sum is 36.
The square root of 4248576 is about 2061.2074131441. The cubic root of 4248576 is about 161.9624970343.
The spelling of 4248576 in words is "four million, two hundred forty-eight thousand, five hundred seventy-six".
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