Base | Representation |
---|---|
bin | 11010010011010… |
… | …001000111001100 |
3 | 1010202022020210100 |
4 | 122103101013030 |
5 | 1400430232234 |
6 | 111441411100 |
7 | 13635430524 |
oct | 3223210714 |
9 | 1122266710 |
10 | 441258444 |
11 | 207096000 |
12 | 103939a90 |
13 | 70558b93 |
14 | 42864684 |
15 | 28b13399 |
hex | 1a4d11cc |
441258444 has 72 divisors (see below), whose sum is σ = 1226993040. Its totient is φ = 133700160.
The previous prime is 441258437. The next prime is 441258457. The reversal of 441258444 is 444852144.
It is a super-2 number, since 2×4412584442 = 389418028802602272, which contains 22 as substring.
It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 441258399 and 441258408.
It is an unprimeable number.
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 23 ways as a sum of consecutive naturals, for example, 43312 + ... + 52520.
It is an arithmetic number, because the mean of its divisors is an integer number (17041570).
Almost surely, 2441258444 is an apocalyptic number.
441258444 is a gapful number since it is divisible by the number (44) 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 441258444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (613496520).
441258444 is an abundant number, since it is smaller than the sum of its proper divisors (785734596).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
441258444 is a wasteful number, since it uses less digits than its factorization.
441258444 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 9252 (or 9225 counting only the distinct ones).
The product of its digits is 81920, while the sum is 36.
The square root of 441258444 is about 21006.1525272954. The cubic root of 441258444 is about 761.3149235641.
The spelling of 441258444 in words is "four hundred forty-one million, two hundred fifty-eight thousand, four hundred forty-four".
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