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44012106 = 23341103193
BaseRepresentation
bin1010011111100…
…1001001001010
310001211001021000
42213321021022
542231341411
64211155430
71043045115
oct247711112
9101731230
1044012106
1122930a46
12128a5b76
13916ca88
145bb957c
153ce5956
hex29f924a

44012106 has 64 divisors (see below), whose sum is σ = 101687040. Its totient is φ = 14100480.

The previous prime is 44012093. The next prime is 44012107. The reversal of 44012106 is 60121044.

44012106 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44012107) 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, 227946 + ... + 228138.

It is an arithmetic number, because the mean of its divisors is an integer number (1588860).

Almost surely, 244012106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44012106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50843520).

44012106 is an abundant number, since it is smaller than the sum of its proper divisors (57674934).

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

44012106 is a wasteful number, since it uses less digits than its factorization.

44012106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 44012106 is about 6634.1620420367. The cubic root of 44012106 is about 353.0672081371.

The spelling of 44012106 in words is "forty-four million, twelve thousand, one hundred six".

Divisors: 1 2 3 6 9 18 27 41 54 82 103 123 193 206 246 309 369 386 579 618 738 927 1107 1158 1737 1854 2214 2781 3474 4223 5211 5562 7913 8446 10422 12669 15826 19879 23739 25338 38007 39758 47478 59637 71217 76014 114021 119274 142434 178911 213651 228042 357822 427302 536733 815039 1073466 1630078 2445117 4890234 7335351 14670702 22006053 44012106