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44028160 = 285115359
BaseRepresentation
bin1010011111110…
…1000100000000
310001211212021121
42213331010000
542232400120
64211402024
71043142661
oct247750400
9101755247
1044028160
1122942010
12128b3314
139177187
145bc1368
153cea5aa
hex29fd100

44028160 has 144 divisors (see below), whose sum is σ = 119206080. Its totient is φ = 15441920.

The previous prime is 44028157. The next prime is 44028163. The reversal of 44028160 is 6182044.

It is an interprime number because it is at equal distance from previous prime (44028157) and next prime (44028163).

It is not an unprimeable number, because it can be changed into a prime (44028163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 746211 + ... + 746269.

It is an arithmetic number, because the mean of its divisors is an integer number (827820).

Almost surely, 244028160 is an apocalyptic number.

44028160 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 44028160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59603040).

44028160 is an abundant number, since it is smaller than the sum of its proper divisors (75177920).

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

44028160 is a wasteful number, since it uses less digits than its factorization.

44028160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

The square root of 44028160 is about 6635.3718810629. The cubic root of 44028160 is about 353.1101315691.

It can be divided in two parts, 440 and 28160, that multiplied together give a square (12390400 = 35202).

The spelling of 44028160 in words is "forty-four million, twenty-eight thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 53 55 59 64 80 88 106 110 118 128 160 176 212 220 236 256 265 295 320 352 424 440 472 530 583 590 640 649 704 848 880 944 1060 1166 1180 1280 1298 1408 1696 1760 1888 2120 2332 2360 2596 2816 2915 3127 3245 3392 3520 3776 4240 4664 4720 5192 5830 6254 6490 6784 7040 7552 8480 9328 9440 10384 11660 12508 12980 13568 14080 15104 15635 16960 18656 18880 20768 23320 25016 25960 31270 33920 34397 37312 37760 41536 46640 50032 51920 62540 67840 68794 74624 75520 83072 93280 100064 103840 125080 137588 149248 166144 171985 186560 200128 207680 250160 275176 343970 373120 400256 415360 500320 550352 687940 746240 800512 830720 1000640 1100704 1375880 2001280 2201408 2751760 4002560 4402816 5503520 8805632 11007040 22014080 44028160