Base | Representation |
---|---|
bin | 11010011110011… |
… | …111110111001100 |
3 | 1010221211211012101 |
4 | 122132133313030 |
5 | 1402203434234 |
6 | 112024444444 |
7 | 14002441600 |
oct | 3236376714 |
9 | 1127754171 |
10 | 444202444 |
11 | 208816964 |
12 | 104919724 |
13 | 71049baa |
14 | 42dcd500 |
15 | 28ee5814 |
hex | 1a79fdcc |
444202444 has 72 divisors (see below), whose sum is σ = 962100720. Its totient is φ = 178416000.
The previous prime is 444202433. The next prime is 444202459.
444202444 is nontrivially palindromic in base 10.
It is a super-2 number, since 2×4442024442 = 394631622511146272, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (28).
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 375534 + ... + 376714.
It is an arithmetic number, because the mean of its divisors is an integer number (13362510).
Almost surely, 2444202444 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 444202444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (481050360).
444202444 is an abundant number, since it is smaller than the sum of its proper divisors (517898276).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
444202444 is a wasteful number, since it uses less digits than its factorization.
444202444 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1319 (or 1310 counting only the distinct ones).
The product of its (nonzero) digits is 16384, while the sum is 28.
The square root of 444202444 is about 21076.1107417854. The cubic root of 444202444 is about 763.0042925438.
It can be divided in two parts, 44420 and 2444, that added together give a palindrome (46864).
The spelling of 444202444 in words is "four hundred forty-four million, two hundred two thousand, four hundred forty-four".
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