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44008140 = 223511131509
BaseRepresentation
bin1010011111100…
…0001011001100
310001210211211010
42213320023030
542231230030
64211125220
71043030421
oct247701314
9101724733
1044008140
1122928a70
12128a3810
13916b027
145bb7d48
153ce46b0
hex29f82cc

44008140 has 96 divisors (see below), whose sum is σ = 135717120. Its totient is φ = 10566400.

The previous prime is 44008103. The next prime is 44008141. The reversal of 44008140 is 4180044.

44008140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (44008141) 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, 86206 + ... + 86714.

It is an arithmetic number, because the mean of its divisors is an integer number (1413720).

Almost surely, 244008140 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 44008140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67858560).

44008140 is an abundant number, since it is smaller than the sum of its proper divisors (91708980).

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

44008140 is a wasteful number, since it uses less digits than its factorization.

44008140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 663 (or 661 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 44008140 is about 6633.8631279218. The cubic root of 44008140 is about 353.0566026716.

Adding to 44008140 its reverse (4180044), we get a palindrome (48188184).

The spelling of 44008140 in words is "forty-four million, eight thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 131 132 165 220 262 330 393 509 524 655 660 786 1018 1310 1441 1527 1572 1965 2036 2545 2620 2882 3054 3930 4323 5090 5599 5764 6108 7205 7635 7860 8646 10180 11198 14410 15270 16797 17292 21615 22396 27995 28820 30540 33594 43230 55990 66679 67188 83985 86460 111980 133358 167970 200037 266716 333395 335940 400074 666790 733469 800148 1000185 1333580 1466938 2000370 2200407 2933876 3667345 4000740 4400814 7334690 8801628 11002035 14669380 22004070 44008140