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482056448 = 28192331139
BaseRepresentation
bin11100101110111…
…001100100000000
31020121002000010112
4130232321210000
51441401301243
6115500050452
714642261246
oct3456714400
91217060115
10482056448
11228121165
12115533a28
1378b41a03
1448044796
152c4c1818
hex1cbb9900

482056448 has 144 divisors (see below), whose sum is σ = 1098854400. Its totient is φ = 209848320.

The previous prime is 482056441. The next prime is 482056451. The reversal of 482056448 is 844650284.

It is not an unprimeable number, because it can be changed into a prime (482056441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3467963 + ... + 3468101.

Almost surely, 2482056448 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 482056448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (549427200).

482056448 is an abundant number, since it is smaller than the sum of its proper divisors (616797952).

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

482056448 is a wasteful number, since it uses less digits than its factorization.

482056448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 41.

The square root of 482056448 is about 21955.7839304362. The cubic root of 482056448 is about 784.0900909937.

The spelling of 482056448 in words is "four hundred eighty-two million, fifty-six thousand, four hundred forty-eight".

Divisors: 1 2 4 8 16 19 23 31 32 38 46 62 64 76 92 124 128 139 152 184 248 256 278 304 368 437 496 556 589 608 713 736 874 992 1112 1178 1216 1426 1472 1748 1984 2224 2356 2432 2641 2852 2944 3197 3496 3968 4309 4448 4712 4864 5282 5704 5888 6394 6992 7936 8618 8896 9424 10564 11408 12788 13547 13984 17236 17792 18848 21128 22816 25576 27094 27968 34472 35584 37696 42256 45632 51152 54188 55936 60743 68944 75392 81871 84512 91264 99107 102304 108376 111872 121486 137888 150784 163742 169024 182528 198214 204608 216752 242972 275776 327484 338048 396428 409216 433504 485944 551552 654968 676096 792856 818432 867008 971888 1103104 1309936 1585712 1734016 1883033 1943776 2619872 3171424 3468032 3766066 3887552 5239744 6342848 7532132 7775104 10479488 12685696 15064264 15550208 20958976 25371392 30128528 60257056 120514112 241028224 482056448