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4481066280 = 23351911931013
BaseRepresentation
bin1000010110001011…
…11010010100101000
3102120021220202022210
410023011322110220
533134123110110
62020352445120
7216021302115
oct41305722450
912507822283
104481066280
11199a499469
12a508497a0
135654a7812
143071bb90c
151b35ed520
hex10b17a528

4481066280 has 128 divisors (see below), whose sum is σ = 13597009920. Its totient is φ = 1181368320.

The previous prime is 4481066273. The next prime is 4481066309. The reversal of 4481066280 is 826601844.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

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, 4423054 + ... + 4424066.

It is an arithmetic number, because the mean of its divisors is an integer number (106226640).

Almost surely, 24481066280 is an apocalyptic number.

4481066280 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 4481066280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6798504960).

4481066280 is an abundant number, since it is smaller than the sum of its proper divisors (9115943640).

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

4481066280 is a wasteful number, since it uses less digits than its factorization.

4481066280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1411 (or 1407 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 39.

The square root of 4481066280 is about 66940.7669510889. The cubic root of 4481066280 is about 1648.6448965751.

The spelling of 4481066280 in words is "four billion, four hundred eighty-one million, sixty-six thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 191 193 382 386 573 579 764 772 955 965 1013 1146 1158 1528 1544 1910 1930 2026 2292 2316 2865 2895 3039 3820 3860 4052 4584 4632 5065 5730 5790 6078 7640 7720 8104 10130 11460 11580 12156 15195 20260 22920 23160 24312 30390 36863 40520 60780 73726 110589 121560 147452 184315 193483 195509 221178 294904 368630 386966 391018 442356 552945 580449 586527 737260 773932 782036 884712 967415 977545 1105890 1160898 1173054 1474520 1547864 1564072 1934830 1955090 2211780 2321796 2346108 2902245 2932635 3869660 3910180 4423560 4643592 4692216 5804490 5865270 7739320 7820360 11608980 11730540 23217960 23461080 37342219 74684438 112026657 149368876 186711095 224053314 298737752 373422190 448106628 560133285 746844380 896213256 1120266570 1493688760 2240533140 4481066280