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442831980 = 2235174110589
BaseRepresentation
bin11010011001010…
…001010001101100
31010212021012021110
4122121101101230
51401331110410
6111535232020
713655003223
oct3231212154
91125235243
10442831980
11207a70248
12104378610
137098a176
1442b53cba
1528d24720
hex1a65146c

442831980 has 96 divisors (see below), whose sum is σ = 1345014720. Its totient is φ = 108421120.

The previous prime is 442831973. The next prime is 442831999. The reversal of 442831980 is 89138244.

It is a super-2 number, since 2×4428319802 = 392200325021440800, which contains 22 as substring.

It is an unprimeable number.

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, 36526 + ... + 47114.

It is an arithmetic number, because the mean of its divisors is an integer number (14010570).

Almost surely, 2442831980 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 442831980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (672507360).

442831980 is an abundant number, since it is smaller than the sum of its proper divisors (902182740).

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

442831980 is a wasteful number, since it uses less digits than its factorization.

442831980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10659 (or 10657 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The square root of 442831980 is about 21043.5733657571. The cubic root of 442831980 is about 762.2188044920.

The spelling of 442831980 in words is "four hundred forty-two million, eight hundred thirty-one thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 41 51 60 68 82 85 102 123 164 170 204 205 246 255 340 410 492 510 615 697 820 1020 1230 1394 2091 2460 2788 3485 4182 6970 8364 10455 10589 13940 20910 21178 31767 41820 42356 52945 63534 105890 127068 158835 180013 211780 317670 360026 434149 540039 635340 720052 868298 900065 1080078 1302447 1736596 1800130 2160156 2170745 2604894 2700195 3600260 4341490 5209788 5400390 6512235 7380533 8682980 10800780 13024470 14761066 22141599 26048940 29522132 36902665 44283198 73805330 88566396 110707995 147610660 221415990 442831980