Base | Representation |
---|---|
bin | 10000001000101010000110 |
3 | 21221220011000 |
4 | 100020222012 |
5 | 2040323031 |
6 | 230354130 |
7 | 50644452 |
oct | 20105206 |
9 | 7856130 |
10 | 4229766 |
11 | 2429982 |
12 | 14bb946 |
13 | b51328 |
14 | 7c1662 |
15 | 5883e6 |
hex | 408a86 |
4229766 has 64 divisors (see below), whose sum is σ = 10123200. Its totient is φ = 1306368.
The previous prime is 4229759. The next prime is 4229767. The reversal of 4229766 is 6679224.
It is a happy number.
It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.
It is a d-powerful number, because it can be written as 411 + 25 + 215 + 9 + 74 + 62 + 63 .
Its product of digits (36288) is a multiple of the sum of its prime divisors (144).
It is a Curzon number.
It is a self number, because there is not a number n which added to its sum of digits gives 4229766.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (4229767) 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 31 ways as a sum of consecutive naturals, for example, 57906 + ... + 57978.
It is an arithmetic number, because the mean of its divisors is an integer number (158175).
Almost surely, 24229766 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 4229766, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5061600).
4229766 is an abundant number, since it is smaller than the sum of its proper divisors (5893434).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
4229766 is a wasteful number, since it uses less digits than its factorization.
4229766 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 150 (or 144 counting only the distinct ones).
The product of its digits is 36288, while the sum is 36.
The square root of 4229766 is about 2056.6394919869. The cubic root of 4229766 is about 161.7231210119.
The spelling of 4229766 in words is "four million, two hundred twenty-nine thousand, seven hundred sixty-six".
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