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444612105 = 3357470489
BaseRepresentation
bin11010100000000…
…011111000001001
31010222121122011000
4122200003320021
51402310041410
6112041325213
714006066130
oct3240037011
91128548130
10444612105
11208a76723
12104a96809
13711614b2
1443098917
1529076dc0
hex1a803e09

444612105 has 32 divisors (see below), whose sum is σ = 903340800. Its totient is φ = 203250816.

The previous prime is 444612089. The next prime is 444612107. The reversal of 444612105 is 501216444.

444612105 is a `hidden beast` number, since 4 + 44 + 612 + 1 + 0 + 5 = 666.

It is not a de Polignac number, because 444612105 - 24 = 444612089 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (444612107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 234300 + ... + 236189.

It is an arithmetic number, because the mean of its divisors is an integer number (28229400).

Almost surely, 2444612105 is an apocalyptic number.

444612105 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

444612105 is an abundant number, since it is smaller than the sum of its proper divisors (458728695).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

444612105 is a wasteful number, since it uses less digits than its factorization.

444612105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 470510 (or 470504 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 444612105 is about 21085.8271120675. The cubic root of 444612105 is about 763.2387780176.

Adding to 444612105 its reverse (501216444), we get a palindrome (945828549).

The spelling of 444612105 in words is "four hundred forty-four million, six hundred twelve thousand, one hundred five".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 105 135 189 315 945 470489 1411467 2352445 3293423 4234401 7057335 9880269 12703203 16467115 21172005 29640807 49401345 63516015 88922421 148204035 444612105