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44468060 = 22571353461
BaseRepresentation
bin1010100110100…
…0011101011100
310002200012201012
42221220131130
542340434220
64225034352
71046654330
oct251503534
9102605635
1044468060
112311256a
1212a859b8
13929c480
145c977c0
153d85ac5
hex2a6875c

44468060 has 96 divisors (see below), whose sum is σ = 117355392. Its totient is φ = 13777920.

The previous prime is 44468059. The next prime is 44468071. The reversal of 44468060 is 6086444.

44468060 = T301 + T302 + ... + T664.

44468060 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 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 31 ways as a sum of consecutive naturals, for example, 96230 + ... + 96690.

It is an arithmetic number, because the mean of its divisors is an integer number (1222452).

Almost surely, 244468060 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 44468060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58677696).

44468060 is an abundant number, since it is smaller than the sum of its proper divisors (72887332).

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

44468060 is a wasteful number, since it uses less digits than its factorization.

44468060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 543 (or 541 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

The square root of 44468060 is about 6668.4375981185. The cubic root of 44468060 is about 354.2822501334.

The spelling of 44468060 in words is "forty-four million, four hundred sixty-eight thousand, sixty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 52 53 65 70 91 106 130 140 182 212 260 265 364 371 455 461 530 689 742 910 922 1060 1378 1484 1820 1844 1855 2305 2756 3227 3445 3710 4610 4823 5993 6454 6890 7420 9220 9646 11986 12908 13780 16135 19292 23972 24115 24433 29965 32270 41951 48230 48866 59930 64540 83902 96460 97732 119860 122165 167804 171031 209755 244330 317629 342062 419510 488660 635258 684124 839020 855155 1270516 1588145 1710310 2223403 3176290 3420620 4446806 6352580 8893612 11117015 22234030 44468060