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424424880 = 243351117863
BaseRepresentation
bin11001010011000…
…011010110110000
31002120122000111000
4121103003112300
51332123044010
6110040522000
713342360215
oct3123032660
91076560430
10424424880
111a8638770
12ba180300
1369c13aa9
1440521b0c
15273da7c0
hex194c35b0

424424880 has 160 divisors (see below), whose sum is σ = 1594897920. Its totient is φ = 102885120.

The previous prime is 424424849. The next prime is 424424881. The reversal of 424424880 is 88424424.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (424424881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14829 + ... + 32691.

It is an arithmetic number, because the mean of its divisors is an integer number (9968112).

Almost surely, 2424424880 is an apocalyptic number.

424424880 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 424424880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (797448960).

424424880 is an abundant number, since it is smaller than the sum of its proper divisors (1170473040).

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

424424880 is a wasteful number, since it uses less digits than its factorization.

424424880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17896 (or 17884 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 36.

The square root of 424424880 is about 20601.5746970954. The cubic root of 424424880 is about 751.5080058589.

The spelling of 424424880 in words is "four hundred twenty-four million, four hundred twenty-four thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 27 30 33 36 40 44 45 48 54 55 60 66 72 80 88 90 99 108 110 120 132 135 144 165 176 180 198 216 220 240 264 270 297 330 360 396 432 440 495 528 540 594 660 720 792 880 990 1080 1188 1320 1485 1584 1980 2160 2376 2640 2970 3960 4752 5940 7920 11880 17863 23760 35726 53589 71452 89315 107178 142904 160767 178630 196493 214356 267945 285808 321534 357260 392986 428712 482301 535890 589479 643068 714520 785972 803835 857424 964602 982465 1071780 1178958 1286136 1429040 1571944 1607670 1768437 1929204 1964930 2143560 2357916 2411505 2572272 2947395 3143888 3215340 3536874 3858408 3929860 4287120 4715832 4823010 5305311 5894790 6430680 7073748 7716816 7859720 8842185 9431664 9646020 10610622 11789580 12861360 14147496 15719440 17684370 19292040 21221244 23579160 26526555 28294992 35368740 38584080 42442488 47158320 53053110 70737480 84884976 106106220 141474960 212212440 424424880