| Base | Representation |
|---|---|
| bin | 11010011001011… |
| … | …001001101100000 |
| 3 | 1010212022211212011 |
| 4 | 122121121031200 |
| 5 | 1401333130410 |
| 6 | 111540042304 |
| 7 | 13655200042 |
| oct | 3231311540 |
| 9 | 1125284764 |
| 10 | 442864480 |
| 11 | 207a92703 |
| 12 | 104393394 |
| 13 | 7099bbb6 |
| 14 | 42b61a92 |
| 15 | 28d2e18a |
| hex | 1a659360 |
442864480 has 48 divisors (see below), whose sum is σ = 1052748144. Its totient is φ = 176048640.
The previous prime is 442864459. The next prime is 442864489. The reversal of 442864480 is 84468244.
It is a super-2 number, since 2×4428644802 = 392257895291340800, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (40).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (442864489) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17590 + ... + 34570.
It is an arithmetic number, because the mean of its divisors is an integer number (21932253).
Almost surely, 2442864480 is an apocalyptic number.
442864480 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 442864480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (526374072).
442864480 is an abundant number, since it is smaller than the sum of its proper divisors (609883664).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
442864480 is a wasteful number, since it uses less digits than its factorization.
442864480 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 17159 (or 17151 counting only the distinct ones).
The product of its (nonzero) digits is 196608, while the sum is 40.
The square root of 442864480 is about 21044.3455588431. The cubic root of 442864480 is about 762.2374507704.
It can be divided in two parts, 442864 and 480, that added together give a palindrome (443344).
The spelling of 442864480 in words is "four hundred forty-two million, eight hundred sixty-four thousand, four hundred eighty".
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