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444484444 = 224173137271
BaseRepresentation
bin11010011111100…
…100101101011100
31010222101011000211
4122133210231130
51402242000234
6112034502204
714005025005
oct3237445534
91128334024
10444484444
11208999818
12104a34964
1371118361
14430641ac
152904e164
hex1a7e4b5c

444484444 has 48 divisors (see below), whose sum is σ = 816633216. Its totient is φ = 211507200.

The previous prime is 444484429. The next prime is 444484477.

It is a happy number.

444484444 is nontrivially palindromic in base 10.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 444484397 and 444484406.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1640029 + ... + 1640299.

It is an arithmetic number, because the mean of its divisors is an integer number (17013192).

Almost surely, 2444484444 is an apocalyptic number.

It is an amenable number.

444484444 is a deficient number, since it is larger than the sum of its proper divisors (372148772).

444484444 is a wasteful number, since it uses less digits than its factorization.

444484444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 526 (or 524 counting only the distinct ones).

The product of its digits is 524288, while the sum is 40.

The square root of 444484444 is about 21082.7997192024. The cubic root of 444484444 is about 763.1657217126.

It can be divided in two parts, 4444 and 84444, that added together give a palindrome (88888).

The spelling of 444484444 in words is "four hundred forty-four million, four hundred eighty-four thousand, four hundred forty-four".

Divisors: 1 2 4 41 73 82 137 146 164 271 274 292 542 548 1084 2993 5617 5986 10001 11111 11234 11972 19783 20002 22222 22468 37127 39566 40004 44444 74254 79132 148508 410041 811103 820082 1522207 1622206 1640164 2710271 3044414 3244412 5420542 6088828 10841084 111121111 222242222 444484444