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444207441 = 31923794289
BaseRepresentation
bin11010011110100…
…001000101010001
31010221212002001110
4122132201011101
51402204114231
6112024523533
714002462266
oct3236410521
91127762043
10444207441
1120881a697
121049205a9
137104c252
1442dd126d
1528ee7046
hex1a7a1151

444207441 has 32 divisors (see below), whose sum is σ = 658944000. Its totient is φ = 264895488.

The previous prime is 444207431. The next prime is 444207461. The reversal of 444207441 is 144702444.

It is not a de Polignac number, because 444207441 - 26 = 444207377 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 444207399 and 444207408.

It is not an unprimeable number, because it can be changed into a prime (444207431) 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 31 ways as a sum of consecutive naturals, for example, 101425 + ... + 105713.

It is an arithmetic number, because the mean of its divisors is an integer number (20592000).

Almost surely, 2444207441 is an apocalyptic number.

It is an amenable number.

444207441 is a deficient number, since it is larger than the sum of its proper divisors (214736559).

444207441 is a wasteful number, since it uses less digits than its factorization.

444207441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4413.

The product of its (nonzero) digits is 14336, while the sum is 30.

The square root of 444207441 is about 21076.2292879917. The cubic root of 444207441 is about 763.0071536403.

Adding to 444207441 its reverse (144702444), we get a palindrome (588909885).

The spelling of 444207441 in words is "four hundred forty-four million, two hundred seven thousand, four hundred forty-one".

Divisors: 1 3 19 23 57 69 79 237 437 1311 1501 1817 4289 4503 5451 12867 34523 81491 98647 103569 244473 295941 338831 1016493 1874293 5622879 6437789 7793113 19313367 23379339 148069147 444207441