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468668048 = 24374119309
BaseRepresentation
bin11011111011110…
…100111010010000
31012122212210200212
4123323310322100
51424434334143
6114301103252
714420420102
oct3373647220
91178783625
10468668048
11220607272
12110b57b28
1376134a94
144635b572
152b229918
hex1bef4e90

468668048 has 40 divisors (see below), whose sum is σ = 955381560. Its totient is φ = 222428160.

The previous prime is 468668047. The next prime is 468668069. The reversal of 468668048 is 840866864.

It can be written as a sum of positive squares in 4 ways, for example, as 8479744 + 460188304 = 2912^2 + 21452^2 .

It is a super-2 number, since 2×4686680482 = 439299478432260608, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 468667987 and 468668005.

It is not an unprimeable number, because it can be changed into a prime (468668047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14618 + ... + 33926.

It is an arithmetic number, because the mean of its divisors is an integer number (23884539).

Almost surely, 2468668048 is an apocalyptic number.

It is an amenable number.

468668048 is an abundant number, since it is smaller than the sum of its proper divisors (486713512).

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

468668048 is a wasteful number, since it uses less digits than its factorization.

468668048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19395 (or 19389 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 50.

The square root of 468668048 is about 21648.7424115120. The cubic root of 468668048 is about 776.7628538201.

The spelling of 468668048 in words is "four hundred sixty-eight million, six hundred sixty-eight thousand, forty-eight".

Divisors: 1 2 4 8 16 37 41 74 82 148 164 296 328 592 656 1517 3034 6068 12136 19309 24272 38618 77236 154472 308944 714433 791669 1428866 1583338 2857732 3166676 5715464 6333352 11430928 12666704 29291753 58583506 117167012 234334024 468668048