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481207296 = 2103312163
BaseRepresentation
bin11100101011101…
…010010000000000
31020112110212022110
4130223222100000
51441142113141
6115425535320
714632123503
oct3453522000
91215425273
10481207296
112276a1189
121151a4540
137890535b
1447ca313a
152c3a4e16
hex1caea400

481207296 has 132 divisors (see below), whose sum is σ = 1333432176. Its totient is φ = 154275840.

The previous prime is 481207241. The next prime is 481207301. The reversal of 481207296 is 692702184.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2952111 + ... + 2952273.

Almost surely, 2481207296 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 481207296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (666716088).

481207296 is an abundant number, since it is smaller than the sum of its proper divisors (852224880).

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

481207296 is a wasteful number, since it uses less digits than its factorization.

481207296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 481207296 is about 21936.4376323960. The cubic root of 481207296 is about 783.6294236441.

The spelling of 481207296 in words is "four hundred eighty-one million, two hundred seven thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 128 163 186 192 248 256 326 372 384 489 496 512 652 744 768 961 978 992 1024 1304 1488 1536 1922 1956 1984 2608 2883 2976 3072 3844 3912 3968 5053 5216 5766 5952 7688 7824 7936 10106 10432 11532 11904 15159 15376 15648 15872 20212 20864 23064 23808 30318 30752 31296 31744 40424 41728 46128 47616 60636 61504 62592 80848 83456 92256 95232 121272 123008 125184 156643 161696 166912 184512 242544 246016 250368 313286 323392 369024 469929 485088 492032 500736 626572 646784 738048 939858 970176 984064 1253144 1293568 1476096 1879716 1940352 2506288 2587136 2952192 3759432 3880704 5012576 5174272 7518864 7761408 10025152 15037728 15522816 20050304 30075456 40100608 60150912 80201216 120301824 160402432 240603648 481207296