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44105292 = 223272112273
BaseRepresentation
bin1010100000111…
…1111001001100
310001222210002100
42220033321030
542242332132
64213155100
71043613600
oct250177114
9101883070
1044105292
1122994a60
121292ba90
1391a330a
145c01500
153d1337c
hex2a0fe4c

44105292 has 108 divisors (see below), whose sum is σ = 141542856. Its totient is φ = 11450880.

The previous prime is 44105263. The next prime is 44105309. The reversal of 44105292 is 29250144.

44105292 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 18268 + ... + 20540.

It is an arithmetic number, because the mean of its divisors is an integer number (1310582).

Almost surely, 244105292 is an apocalyptic number.

44105292 is a gapful number since it is divisible by the number (42) 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 44105292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70771428).

44105292 is an abundant number, since it is smaller than the sum of its proper divisors (97437564).

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

44105292 is a wasteful number, since it uses less digits than its factorization.

44105292 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2308 (or 2296 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 44105292 is about 6641.1815213861. The cubic root of 44105292 is about 353.3162133234.

It can be divided in two parts, 441052 and 92, that added together give a palindrome (441144).

The spelling of 44105292 in words is "forty-four million, one hundred five thousand, two hundred ninety-two".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 33 36 42 44 49 63 66 77 84 98 99 126 132 147 154 196 198 231 252 294 308 396 441 462 539 588 693 882 924 1078 1386 1617 1764 2156 2273 2772 3234 4546 4851 6468 6819 9092 9702 13638 15911 19404 20457 25003 27276 31822 40914 47733 50006 63644 75009 81828 95466 100012 111377 143199 150018 175021 190932 222754 225027 286398 300036 334131 350042 445508 450054 525063 572796 668262 700084 900108 1002393 1050126 1225147 1336524 1575189 2004786 2100252 2450294 3150378 3675441 4009572 4900588 6300756 7350882 11026323 14701764 22052646 44105292