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44105440 = 255614519
BaseRepresentation
bin1010100000111…
…1111011100000
310001222210021211
42220033323200
542242333230
64213155504
71043614201
oct250177340
9101883254
1044105440
1122995085
121292bb94
1391a33c2
145c015a8
153d1342a
hex2a0fee0

44105440 has 48 divisors (see below), whose sum is σ = 105930720. Its totient is φ = 17349120.

The previous prime is 44105437. The next prime is 44105447. The reversal of 44105440 is 4450144.

44105440 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 (44105447) 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 7 ways as a sum of consecutive naturals, for example, 7501 + ... + 12019.

It is an arithmetic number, because the mean of its divisors is an integer number (2206890).

Almost surely, 244105440 is an apocalyptic number.

44105440 is a gapful number since it is divisible by the number (40) 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 44105440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52965360).

44105440 is an abundant number, since it is smaller than the sum of its proper divisors (61825280).

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

44105440 is a wasteful number, since it uses less digits than its factorization.

44105440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4595 (or 4587 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 22.

The square root of 44105440 is about 6641.1926639723. The cubic root of 44105440 is about 353.3166085197.

Adding to 44105440 its reverse (4450144), we get a palindrome (48555584).

The spelling of 44105440 in words is "forty-four million, one hundred five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 61 80 122 160 244 305 488 610 976 1220 1952 2440 4519 4880 9038 9760 18076 22595 36152 45190 72304 90380 144608 180760 275659 361520 551318 723040 1102636 1378295 2205272 2756590 4410544 5513180 8821088 11026360 22052720 44105440