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44105140 = 22517731777
BaseRepresentation
bin1010100000111…
…1110110110100
310001222202212201
42220033312310
542242331030
64213154244
71043613262
oct250176664
9101882781
1044105140
1122994932
121292b984
1391a3221
145c01432
153d132ca
hex2a0fdb4

44105140 has 48 divisors (see below), whose sum is σ = 99468432. Its totient is φ = 16367616.

The previous prime is 44105093. The next prime is 44105141. The reversal of 44105140 is 4150144.

It can be written as a sum of positive squares in 8 ways, for example, as 571536 + 43533604 = 756^2 + 6598^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44105141) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23932 + ... + 25708.

It is an arithmetic number, because the mean of its divisors is an integer number (2072259).

Almost surely, 244105140 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44105140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49734216).

44105140 is an abundant number, since it is smaller than the sum of its proper divisors (55363292).

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

44105140 is a wasteful number, since it uses less digits than its factorization.

44105140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1876 (or 1874 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

The square root of 44105140 is about 6641.1700776294. The cubic root of 44105140 is about 353.3158074452.

Adding to 44105140 its reverse (4150144), we get a palindrome (48255284).

The spelling of 44105140 in words is "forty-four million, one hundred five thousand, one hundred forty".

Divisors: 1 2 4 5 10 17 20 34 68 73 85 146 170 292 340 365 730 1241 1460 1777 2482 3554 4964 6205 7108 8885 12410 17770 24820 30209 35540 60418 120836 129721 151045 259442 302090 518884 604180 648605 1297210 2205257 2594420 4410514 8821028 11026285 22052570 44105140