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468676648 = 231119594751
BaseRepresentation
bin11011111011110…
…111000000101000
31012122220020111101
4123323313000220
51424440123043
6114301211144
714420454136
oct3373670050
91178806441
10468676648
11220612780
12110b60ab4
137613897b
1446360756
152b22c24d
hex1bef7028

468676648 has 64 divisors (see below), whose sum is σ = 1026432000. Its totient is φ = 198360000.

The previous prime is 468676643. The next prime is 468676657. The reversal of 468676648 is 846676864.

It is not an unprimeable number, because it can be changed into a prime (468676643) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 96273 + ... + 101023.

It is an arithmetic number, because the mean of its divisors is an integer number (16038000).

Almost surely, 2468676648 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 468676648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (513216000).

468676648 is an abundant number, since it is smaller than the sum of its proper divisors (557755352).

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

468676648 is a wasteful number, since it uses less digits than its factorization.

468676648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4846 (or 4842 counting only the distinct ones).

The product of its digits is 9289728, while the sum is 55.

The square root of 468676648 is about 21648.9410364572. The cubic root of 468676648 is about 776.7676049581.

The spelling of 468676648 in words is "four hundred sixty-eight million, six hundred seventy-six thousand, six hundred forty-eight".

Divisors: 1 2 4 8 11 19 22 38 44 59 76 88 118 152 209 236 418 472 649 836 1121 1298 1672 2242 2596 4484 4751 5192 8968 9502 12331 19004 24662 38008 49324 52261 90269 98648 104522 180538 209044 280309 361076 418088 560618 722152 992959 1121236 1985918 2242472 3083399 3971836 5325871 6166798 7943672 10651742 12333596 21303484 24667192 42606968 58584581 117169162 234338324 468676648