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441418950 = 23352726673
BaseRepresentation
bin11010010011111…
…000010011000110
31010202121101222000
4122103320103012
51401000401300
6111445050130
713636666500
oct3223702306
91122541860
10441418950
11207195655
121039b6946
13705b3c5b
14428a6d70
1528b45c00
hex1a4f84c6

441418950 has 144 divisors (see below), whose sum is σ = 1415154960. Its totient is φ = 100880640.

The previous prime is 441418931. The next prime is 441418961. The reversal of 441418950 is 59814144.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 62814 + ... + 69486.

It is an arithmetic number, because the mean of its divisors is an integer number (9827465).

Almost surely, 2441418950 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 441418950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (707577480).

441418950 is an abundant number, since it is smaller than the sum of its proper divisors (973736010).

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

441418950 is a wasteful number, since it uses less digits than its factorization.

441418950 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6708 (or 6690 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 441418950 is about 21009.9726320621. The cubic root of 441418950 is about 761.4072207969.

The spelling of 441418950 in words is "four hundred forty-one million, four hundred eighteen thousand, nine hundred fifty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 25 27 30 35 42 45 49 50 54 63 70 75 90 98 105 126 135 147 150 175 189 210 225 245 270 294 315 350 378 441 450 490 525 630 675 735 882 945 1050 1225 1323 1350 1470 1575 1890 2205 2450 2646 3150 3675 4410 4725 6615 6673 7350 9450 11025 13230 13346 20019 22050 33075 33365 40038 46711 60057 66150 66730 93422 100095 120114 140133 166825 180171 200190 233555 280266 300285 326977 333650 360342 420399 467110 500475 600570 653954 700665 840798 900855 980931 1000950 1167775 1261197 1401330 1501425 1634885 1801710 1961862 2101995 2335550 2522394 2942793 3002850 3269770 3503325 4203990 4504275 4904655 5885586 6305985 7006650 8174425 8828379 9008550 9809310 10509975 12611970 14713965 16348850 17656758 21019950 24523275 29427930 31529925 44141895 49046550 63059850 73569825 88283790 147139650 220709475 441418950