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80448960 = 2635471783
BaseRepresentation
bin1001100101110…
…00110111000000
312121101020020010
410302320313000
5131043331320
611552144520
71664543034
oct462706700
9177336203
1080448960
1141458549
1222b38140
1313889847
14a9821c4
1570e1ae0
hex4cb8dc0

80448960 has 112 divisors (see below), whose sum is σ = 261006336. Its totient is φ = 20984832.

The previous prime is 80448959. The next prime is 80448971. The reversal of 80448960 is 6984408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44229 + ... + 46011.

Almost surely, 280448960 is an apocalyptic number.

80448960 is a gapful number since it is divisible by the number (80) 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 80448960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130503168).

80448960 is an abundant number, since it is smaller than the sum of its proper divisors (180557376).

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

80448960 is a wasteful number, since it uses less digits than its factorization.

80448960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1850 (or 1840 counting only the distinct ones).

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

The square root of 80448960 is about 8969.3344234676. The cubic root of 80448960 is about 431.6914806789.

The spelling of 80448960 in words is "eighty million, four hundred forty-eight thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 47 48 60 64 80 94 96 120 141 160 188 192 235 240 282 320 376 470 480 564 705 752 940 960 1128 1410 1504 1783 1880 2256 2820 3008 3566 3760 4512 5349 5640 7132 7520 8915 9024 10698 11280 14264 15040 17830 21396 22560 26745 28528 35660 42792 45120 53490 57056 71320 83801 85584 106980 114112 142640 167602 171168 213960 251403 285280 335204 342336 419005 427920 502806 570560 670408 838010 855840 1005612 1257015 1340816 1676020 1711680 2011224 2514030 2681632 3352040 4022448 5028060 5363264 6704080 8044896 10056120 13408160 16089792 20112240 26816320 40224480 80448960