Search a number
-
+
44105328 = 2432535779
BaseRepresentation
bin1010100000111…
…1111001110000
310001222210010200
42220033321300
542242332303
64213155200
71043613651
oct250177160
9101883120
1044105328
1122994a93
121292bb00
1391a3337
145c01528
153d133a3
hex2a0fe70

44105328 has 60 divisors (see below), whose sum is σ = 125784360. Its totient is φ = 14421888.

The previous prime is 44105323. The next prime is 44105339. The reversal of 44105328 is 82350144.

44105328 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44105323) 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 11 ways as a sum of consecutive naturals, for example, 4743 + ... + 10521.

It is an arithmetic number, because the mean of its divisors is an integer number (2096406).

Almost surely, 244105328 is an apocalyptic number.

44105328 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44105328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62892180).

44105328 is an abundant number, since it is smaller than the sum of its proper divisors (81679032).

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

44105328 is a wasteful number, since it uses less digits than its factorization.

44105328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5846 (or 5837 counting only the distinct ones).

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

The square root of 44105328 is about 6641.1842317466. The cubic root of 44105328 is about 353.3163094523.

The spelling of 44105328 in words is "forty-four million, one hundred five thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 53 72 106 144 159 212 318 424 477 636 848 954 1272 1908 2544 3816 5779 7632 11558 17337 23116 34674 46232 52011 69348 92464 104022 138696 208044 277392 306287 416088 612574 832176 918861 1225148 1837722 2450296 2756583 3675444 4900592 5513166 7350888 11026332 14701776 22052664 44105328