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80441820 = 223251943547
BaseRepresentation
bin1001100101101…
…11000111011100
312121100212102200
410302313013130
5131043114240
611552051500
71664513154
oct462670734
9177325380
1080441820
1141453148
1222b33b90
1313886514
14a97d764
1570de930
hex4cb71dc

80441820 has 144 divisors (see below), whose sum is σ = 263303040. Its totient is φ = 19813248.

The previous prime is 80441819. The next prime is 80441843. The reversal of 80441820 is 2814408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 146787 + ... + 147333.

Almost surely, 280441820 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 80441820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131651520).

80441820 is an abundant number, since it is smaller than the sum of its proper divisors (182861220).

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

80441820 is a wasteful number, since it uses less digits than its factorization.

80441820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 624 (or 619 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 80441820 is about 8968.9363917914. The cubic root of 80441820 is about 431.6787091512.

It can be divided in two parts, 804 and 41820, that added together give a palindrome (42624).

The spelling of 80441820 in words is "eighty million, four hundred forty-one thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 43 45 57 60 76 86 90 95 114 129 171 172 180 190 215 228 258 285 342 380 387 430 516 547 570 645 684 774 817 855 860 1094 1140 1290 1548 1634 1641 1710 1935 2188 2451 2580 2735 3268 3282 3420 3870 4085 4902 4923 5470 6564 7353 7740 8170 8205 9804 9846 10393 10940 12255 14706 16340 16410 19692 20786 23521 24510 24615 29412 31179 32820 36765 41572 47042 49020 49230 51965 62358 70563 73530 93537 94084 98460 103930 117605 124716 141126 147060 155895 187074 207860 211689 235210 282252 311790 352815 374148 423378 446899 467685 470420 623580 705630 846756 893798 935370 1058445 1340697 1411260 1787596 1870740 2116890 2234495 2681394 4022091 4233780 4468990 5362788 6703485 8044182 8937980 13406970 16088364 20110455 26813940 40220910 80441820