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468464864 = 2572091361
BaseRepresentation
bin11011111011000…
…011010011100000
31012122111110222112
4123323003103200
51424411333424
6114252454452
714415612530
oct3373032340
91178443875
10468464864
1122048864a
12110a7a428
137609345a
14463074c0
152b1d960e
hex1bec34e0

468464864 has 24 divisors (see below), whose sum is σ = 1054046448. Its totient is φ = 200770560.

The previous prime is 468464863. The next prime is 468464873.

468464864 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (468464861) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1045457 + ... + 1045904.

It is an arithmetic number, because the mean of its divisors is an integer number (43918602).

Almost surely, 2468464864 is an apocalyptic number.

It is an amenable number.

468464864 is an abundant number, since it is smaller than the sum of its proper divisors (585581584).

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

468464864 is a wasteful number, since it uses less digits than its factorization.

468464864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2091378 (or 2091370 counting only the distinct ones).

The product of its digits is 3538944, while the sum is 50.

The square root of 468464864 is about 21644.0491590645. The cubic root of 468464864 is about 776.6505863012.

The spelling of 468464864 in words is "four hundred sixty-eight million, four hundred sixty-four thousand, eight hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 2091361 4182722 8365444 14639527 16730888 29279054 33461776 58558108 66923552 117116216 234232432 468464864