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44080080 = 24351159283
BaseRepresentation
bin1010100000100…
…1101111010000
310001221111111120
42220021233100
542241030310
64212442240
71043450232
oct250115720
9101844446
1044080080
1122978020
1212919380
1391949b5
145bd6252
153d0ab70
hex2a09bd0

44080080 has 160 divisors (see below), whose sum is σ = 152133120. Its totient is φ = 10467840.

The previous prime is 44080079. The next prime is 44080081. The reversal of 44080080 is 8008044.

It is an interprime number because it is at equal distance from previous prime (44080079) and next prime (44080081).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a self number, because there is not a number n which added to its sum of digits gives 44080080.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44080081) 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 31 ways as a sum of consecutive naturals, for example, 155619 + ... + 155901.

It is an arithmetic number, because the mean of its divisors is an integer number (950832).

Almost surely, 244080080 is an apocalyptic number.

44080080 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 44080080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76066560).

44080080 is an abundant number, since it is smaller than the sum of its proper divisors (108053040).

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

44080080 is a wasteful number, since it uses less digits than its factorization.

44080080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 44080080 is about 6639.2830938287. The cubic root of 44080080 is about 353.2488781970.

Subtracting from 44080080 its reverse (8008044), we obtain a square (36072036 = 60062).

The spelling of 44080080 in words is "forty-four million, eighty thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 59 60 66 80 88 110 118 120 132 165 176 177 220 236 240 264 283 295 330 354 440 472 528 566 590 649 660 708 849 880 885 944 1132 1180 1298 1320 1415 1416 1698 1770 1947 2264 2360 2596 2640 2830 2832 3113 3245 3396 3540 3894 4245 4528 4720 5192 5660 6226 6490 6792 7080 7788 8490 9339 9735 10384 11320 12452 12980 13584 14160 15565 15576 16697 16980 18678 19470 22640 24904 25960 31130 31152 33394 33960 37356 38940 46695 49808 50091 51920 62260 66788 67920 74712 77880 83485 93390 100182 124520 133576 149424 155760 166970 183667 186780 200364 249040 250455 267152 333940 367334 373560 400728 500910 551001 667880 734668 747120 801456 918335 1001820 1102002 1335760 1469336 1836670 2003640 2204004 2755005 2938672 3673340 4007280 4408008 5510010 7346680 8816016 11020020 14693360 22040040 44080080