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444505005 = 32571411127
BaseRepresentation
bin11010011111101…
…001101110101101
31010222102012020100
4122133221232231
51402243130010
6112035141313
714005141650
oct3237515655
91128365210
10444505005
11208a0320a
12104a44839
1371124819
144306b897
15290552c0
hex1a7e9bad

444505005 has 24 divisors (see below), whose sum is σ = 880543872. Its totient is φ = 203202144.

The previous prime is 444504961. The next prime is 444505007. The reversal of 444505005 is 500505444.

It is not a de Polignac number, because 444505005 - 223 = 436116397 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 444505005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444505007) by changing a digit.

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, 705249 + ... + 705878.

It is an arithmetic number, because the mean of its divisors is an integer number (36689328).

Almost surely, 2444505005 is an apocalyptic number.

444505005 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

444505005 is a deficient number, since it is larger than the sum of its proper divisors (436038867).

444505005 is a wasteful number, since it uses less digits than its factorization.

444505005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1411145 (or 1411142 counting only the distinct ones).

The product of its (nonzero) digits is 8000, while the sum is 27.

The square root of 444505005 is about 21083.2873385533. The cubic root of 444505005 is about 763.1774890599.

It can be divided in two parts, 44450 and 5005, that added together give a triangular number (49455 = T314).

The spelling of 444505005 in words is "four hundred forty-four million, five hundred five thousand, five".

Divisors: 1 3 5 7 9 15 21 35 45 63 105 315 1411127 4233381 7055635 9877889 12700143 21166905 29633667 49389445 63500715 88901001 148168335 444505005