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80048100 = 2235211127191
BaseRepresentation
bin1001100010101…
…10111111100100
312120121212100110
410301112333210
5130443014400
611535413020
71661253246
oct461267744
9176555313
1080048100
1141204360
1222984170
1313779252
14a8ba096
157062e50
hex4c56fe4

80048100 has 144 divisors (see below), whose sum is σ = 255983616. Its totient is φ = 19152000.

The previous prime is 80048081. The next prime is 80048117. The reversal of 80048100 is 184008.

It is a super-2 number, since 2×800481002 = 12815396627220000, which contains 22 as substring.

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, 419005 + ... + 419195.

It is an arithmetic number, because the mean of its divisors is an integer number (1777664).

Almost surely, 280048100 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 80048100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127991808).

80048100 is an abundant number, since it is smaller than the sum of its proper divisors (175935516).

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

80048100 is a wasteful number, since it uses less digits than its factorization.

80048100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346 (or 339 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

The square root of 80048100 is about 8946.9603776925. The cubic root of 80048100 is about 430.9732776286.

The spelling of 80048100 in words is "eighty million, forty-eight thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 127 132 150 165 191 220 254 275 300 330 381 382 508 550 573 635 660 762 764 825 955 1100 1146 1270 1397 1524 1650 1905 1910 2101 2292 2540 2794 2865 3175 3300 3810 3820 4191 4202 4775 5588 5730 6303 6350 6985 7620 8382 8404 9525 9550 10505 11460 12606 12700 13970 14325 16764 19050 19100 20955 21010 24257 25212 27940 28650 31515 34925 38100 41910 42020 48514 52525 57300 63030 69850 72771 83820 97028 104775 105050 121285 126060 139700 145542 157575 209550 210100 242570 266827 291084 315150 363855 419100 485140 533654 606425 630300 727710 800481 1067308 1212850 1334135 1455420 1600962 1819275 2425700 2668270 3201924 3638550 4002405 5336540 6670675 7277100 8004810 13341350 16009620 20012025 26682700 40024050 80048100