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44094820 = 225711219137
BaseRepresentation
bin1010100000110…
…1010101100100
310001222020201111
42220031111210
542242013240
64213034404
71043541220
oct250152544
9101866644
1044094820
1122988100
1212925a04
13919b613
145bdb780
153d101ea
hex2a0d564

44094820 has 144 divisors (see below), whose sum is σ = 123338880. Its totient is φ = 12925440.

The previous prime is 44094797. The next prime is 44094857. The reversal of 44094820 is 2849044.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 321792 + ... + 321928.

It is an arithmetic number, because the mean of its divisors is an integer number (856520).

Almost surely, 244094820 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 44094820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61669440).

44094820 is an abundant number, since it is smaller than the sum of its proper divisors (79244060).

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

44094820 is a wasteful number, since it uses less digits than its factorization.

44094820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 31.

The square root of 44094820 is about 6640.3930606554. The cubic root of 44094820 is about 353.2882482722.

It can be divided in two parts, 4409 and 4820, that added together give a palindrome (9229).

The spelling of 44094820 in words is "forty-four million, ninety-four thousand, eight hundred twenty".

Divisors: 1 2 4 5 7 10 11 14 19 20 22 28 35 38 44 55 70 76 77 95 110 121 133 137 140 154 190 209 220 242 266 274 308 380 385 418 484 532 548 605 665 685 770 836 847 959 1045 1210 1330 1370 1463 1507 1540 1694 1918 2090 2299 2420 2603 2660 2740 2926 3014 3388 3836 4180 4235 4598 4795 5206 5852 6028 7315 7535 8470 9196 9590 10412 10549 11495 13015 14630 15070 16093 16577 16940 18221 19180 21098 22990 26030 28633 29260 30140 32186 33154 36442 42196 45980 52060 52745 57266 64372 66308 72884 80465 82885 91105 105490 114532 116039 143165 160930 165770 182210 200431 210980 232078 286330 314963 321860 331540 364420 400862 464156 572660 580195 629926 801724 1002155 1160390 1259852 1574815 2004310 2204741 2320780 3149630 4008620 4409482 6299260 8818964 11023705 22047410 44094820