Search a number
-
+
44093160 = 2334531439
BaseRepresentation
bin1010100000110…
…0111011101000
310001222011110000
42220030323220
542241440120
64213023000
71043533326
oct250147350
9101864400
1044093160
1122986931
1212924a60
13919a937
145bdad16
153d0e990
hex2a0cee8

44093160 has 160 divisors (see below), whose sum is σ = 153331200. Its totient is φ = 11352960.

The previous prime is 44093113. The next prime is 44093171. The reversal of 44093160 is 6139044.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 100221 + ... + 100659.

It is an arithmetic number, because the mean of its divisors is an integer number (958320).

Almost surely, 244093160 is an apocalyptic number.

44093160 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 44093160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76665600).

44093160 is an abundant number, since it is smaller than the sum of its proper divisors (109238040).

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

44093160 is a wasteful number, since it uses less digits than its factorization.

44093160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 493 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 44093160 is about 6640.2680668780. The cubic root of 44093160 is about 353.2838149030.

It can be divided in two parts, 44093 and 160, that added together give a triangular number (44253 = T297).

The spelling of 44093160 in words is "forty-four million, ninety-three thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 31 36 40 45 54 60 62 72 81 90 93 108 120 124 135 155 162 180 186 216 248 270 279 310 324 360 372 405 439 465 540 558 620 648 744 810 837 878 930 1080 1116 1240 1317 1395 1620 1674 1756 1860 2195 2232 2511 2634 2790 3240 3348 3512 3720 3951 4185 4390 5022 5268 5580 6585 6696 7902 8370 8780 10044 10536 11160 11853 12555 13170 13609 15804 16740 17560 19755 20088 23706 25110 26340 27218 31608 33480 35559 39510 40827 47412 50220 52680 54436 59265 68045 71118 79020 81654 94824 100440 108872 118530 122481 136090 142236 158040 163308 177795 204135 237060 244962 272180 284472 326616 355590 367443 408270 474120 489924 544360 612405 711180 734886 816540 979848 1102329 1224810 1422360 1469772 1633080 1837215 2204658 2449620 2939544 3674430 4409316 4899240 5511645 7348860 8818632 11023290 14697720 22046580 44093160