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44027568 = 24321329811
BaseRepresentation
bin1010011111110…
…0111010110000
310001211211110200
42213330322300
542232340233
64211355200
71043141154
oct247747260
9101754420
1044027568
1122941622
12128b2b00
139176b20
145bc1064
153cea313
hex29fceb0

44027568 has 120 divisors (see below), whose sum is σ = 137439120. Its totient is φ = 13063680.

The previous prime is 44027561. The next prime is 44027591. The reversal of 44027568 is 86572044.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44027561) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53883 + ... + 54693.

It is an arithmetic number, because the mean of its divisors is an integer number (1145326).

Almost surely, 244027568 is an apocalyptic number.

44027568 is a gapful number since it is divisible by the number (48) 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 44027568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68719560).

44027568 is an abundant number, since it is smaller than the sum of its proper divisors (93411552).

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

44027568 is a wasteful number, since it uses less digits than its factorization.

44027568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 867 (or 858 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 44027568 is about 6635.3272715067. The cubic root of 44027568 is about 353.1085489295.

The spelling of 44027568 in words is "forty-four million, twenty-seven thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 29 36 39 48 52 58 72 78 87 104 116 117 144 156 174 208 232 234 261 312 348 377 464 468 522 624 696 754 811 936 1044 1131 1392 1508 1622 1872 2088 2262 2433 3016 3244 3393 4176 4524 4866 6032 6488 6786 7299 9048 9732 10543 12976 13572 14598 18096 19464 21086 23519 27144 29196 31629 38928 42172 47038 54288 58392 63258 70557 84344 94076 94887 116784 126516 141114 168688 188152 189774 211671 253032 282228 305747 376304 379548 423342 506064 564456 611494 759096 846684 917241 1128912 1222988 1518192 1693368 1834482 2445976 2751723 3386736 3668964 4891952 5503446 7337928 11006892 14675856 22013784 44027568