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44350020 = 2232511131723
BaseRepresentation
bin1010100100101…
…1101001000100
310002110012210100
42221023221010
542323200040
64222324100
71045653231
oct251135104
9102405710
1044350020
1123041910
1212a29630
13925a820
145c66788
153d60b30
hex2a4ba44

44350020 has 144 divisors (see below), whose sum is σ = 158139072. Its totient is φ = 9918720.

The previous prime is 44350001. The next prime is 44350039. The reversal of 44350020 is 2005344.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (44350001) and next prime (44350039).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 44349975 and 44350002.

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, 24879 + ... + 26601.

It is an arithmetic number, because the mean of its divisors is an integer number (1098188).

Almost surely, 244350020 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 44350020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79069536).

44350020 is an abundant number, since it is smaller than the sum of its proper divisors (113789052).

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

44350020 is a wasteful number, since it uses less digits than its factorization.

44350020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1762 (or 1757 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 44350020 is about 6659.5810679051. The cubic root of 44350020 is about 353.9684928389.

Adding to 44350020 its reverse (2005344), we get a palindrome (46355364).

The spelling of 44350020 in words is "forty-four million, three hundred fifty thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 13 15 18 20 22 26 30 33 36 39 44 45 52 55 60 65 66 78 90 99 110 117 130 132 143 156 165 180 195 198 220 234 260 286 330 390 396 429 468 495 572 585 660 715 780 858 990 1170 1287 1430 1716 1723 1980 2145 2340 2574 2860 3446 4290 5148 5169 6435 6892 8580 8615 10338 12870 15507 17230 18953 20676 22399 25740 25845 31014 34460 37906 44798 51690 56859 62028 67197 75812 77535 89596 94765 103380 111995 113718 134394 155070 170577 189530 201591 223990 227436 246389 268788 284295 310140 335985 341154 379060 403182 447980 492778 568590 671970 682308 739167 806364 852885 985556 1007955 1137180 1231945 1343940 1478334 1705770 2015910 2217501 2463890 2956668 3411540 3695835 4031820 4435002 4927780 7391670 8870004 11087505 14783340 22175010 44350020