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4413439920 = 243537701709
BaseRepresentation
bin1000001110000111…
…11011111110110000
3102101120122222101210
410013003323332300
533014320034140
62005535200120
7214240422531
oct40703737660
912346588353
104413439920
1119652a980a
12a32076040
1355448a516
142dc216688
151ac6e0d80
hex1070fbfb0

4413439920 has 160 divisors (see below), whose sum is σ = 14091330240. Its totient is φ = 1141862400.

The previous prime is 4413439897. The next prime is 4413439951. The reversal of 4413439920 is 299343144.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6224526 + ... + 6225234.

It is an arithmetic number, because the mean of its divisors is an integer number (88070814).

Almost surely, 24413439920 is an apocalyptic number.

4413439920 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 4413439920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7045665120).

4413439920 is an abundant number, since it is smaller than the sum of its proper divisors (9677890320).

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

4413439920 is a wasteful number, since it uses less digits than its factorization.

4413439920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1463 (or 1457 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 39.

The square root of 4413439920 is about 66433.7257723816. The cubic root of 4413439920 is about 1640.3092714379.

The spelling of 4413439920 in words is "four billion, four hundred thirteen million, four hundred thirty-nine thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 37 40 48 60 74 80 111 120 148 185 222 240 296 370 444 555 592 701 709 740 888 1110 1402 1418 1480 1776 2103 2127 2220 2804 2836 2960 3505 3545 4206 4254 4440 5608 5672 7010 7090 8412 8508 8880 10515 10635 11216 11344 14020 14180 16824 17016 21030 21270 25937 26233 28040 28360 33648 34032 42060 42540 51874 52466 56080 56720 77811 78699 84120 85080 103748 104932 129685 131165 155622 157398 168240 170160 207496 209864 259370 262330 311244 314796 389055 393495 414992 419728 497009 518740 524660 622488 629592 778110 786990 994018 1037480 1049320 1244976 1259184 1491027 1556220 1573980 1988036 2074960 2098640 2485045 2982054 3112440 3147960 3976072 4970090 5964108 6224880 6295920 7455135 7952144 9940180 11928216 14910270 18389333 19880360 23856432 29820540 36778666 39760720 55167999 59641080 73557332 91946665 110335998 119282160 147114664 183893330 220671996 275839995 294229328 367786660 441343992 551679990 735573320 882687984 1103359980 1471146640 2206719960 4413439920