Base | Representation |
---|---|
bin | 11010011000101… |
… | …110000000000000 |
3 | 1010211222212001220 |
4 | 122120232000000 |
5 | 1401311444423 |
6 | 111532155040 |
7 | 13653532035 |
oct | 3230560000 |
9 | 1124885056 |
10 | 442687488 |
11 | 207981731 |
12 | 104308a80 |
13 | 70939479 |
14 | 42b1738c |
15 | 28ce69e3 |
hex | 1a62e000 |
442687488 has 56 divisors (see below), whose sum is σ = 1180493448. Its totient is φ = 147554304.
The previous prime is 442687411. The next prime is 442687507. The reversal of 442687488 is 884786244.
It is a happy number.
It is a super-3 number, since 3×4426874883 (a number of 27 digits) contains 333 as substring.
It is a self number, because there is not a number n which added to its sum of digits gives 442687488.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 15570 + ... + 33582.
Almost surely, 2442687488 is an apocalyptic number.
442687488 is a gapful number since it is divisible by the number (48) 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 442687488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (590246724).
442687488 is an abundant number, since it is smaller than the sum of its proper divisors (737805960).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
442687488 is an equidigital number, since it uses as much as digits as its factorization.
442687488 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 18042 (or 18018 counting only the distinct ones).
The product of its digits is 2752512, while the sum is 51.
The square root of 442687488 is about 21040.1399234891. The cubic root of 442687488 is about 762.1358938131.
The spelling of 442687488 in words is "four hundred forty-two million, six hundred eighty-seven thousand, four hundred eighty-eight".
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