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481344656 = 24135961643
BaseRepresentation
bin11100101100001…
…011110010010000
31020112201211201212
4130230023302100
51441211012111
6115432515252
714633235122
oct3454136220
91215654655
10481344656
11227785401
1211524bb28
1378952a30
1447cdb212
152c3d098b
hex1cb0bc90

481344656 has 80 divisors (see below), whose sum is σ = 1039725120. Its totient is φ = 214479360.

The previous prime is 481344637. The next prime is 481344701. The reversal of 481344656 is 656443184.

It is a happy number.

It is an unprimeable number.

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, 748271 + ... + 748913.

It is an arithmetic number, because the mean of its divisors is an integer number (12996564).

Almost surely, 2481344656 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 481344656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (519862560).

481344656 is an abundant number, since it is smaller than the sum of its proper divisors (558380464).

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

481344656 is a wasteful number, since it uses less digits than its factorization.

481344656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 784 (or 778 counting only the distinct ones).

The product of its digits is 276480, while the sum is 41.

The square root of 481344656 is about 21939.5682728717. The cubic root of 481344656 is about 783.7039785524.

The spelling of 481344656 in words is "four hundred eighty-one million, three hundred forty-four thousand, six hundred fifty-six".

Divisors: 1 2 4 8 13 16 26 52 59 61 104 118 122 208 236 244 472 488 643 767 793 944 976 1286 1534 1586 2572 3068 3172 3599 5144 6136 6344 7198 8359 10288 12272 12688 14396 16718 28792 33436 37937 39223 46787 57584 66872 75874 78446 93574 133744 151748 156892 187148 303496 313784 374296 493181 509899 606992 627568 748592 986362 1019798 1972724 2039596 2314157 3945448 4079192 4628314 7890896 8158384 9256628 18513256 30084041 37026512 60168082 120336164 240672328 481344656