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468881408 = 212114473
BaseRepresentation
bin11011111100101…
…001000000000000
31012200021122101002
4123330221000000
51430013201113
6114305431132
714422266122
oct3374510000
91180248332
10468881408
112207425a6
1211103b4a8
13761aac28
14463b5212
152b26cc58
hex1bf29000

468881408 has 26 divisors (see below), whose sum is σ = 937656534. Its totient is φ = 234438656.

The previous prime is 468881401. The next prime is 468881461. The reversal of 468881408 is 804188864.

It can be written as a sum of positive squares in only one way, i.e., 440664064 + 28217344 = 20992^2 + 5312^2 .

It is not an unprimeable number, because it can be changed into a prime (468881401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53141 + ... + 61332.

Almost surely, 2468881408 is an apocalyptic number.

It is an amenable number.

468881408 is a deficient number, since it is larger than the sum of its proper divisors (468775126).

468881408 is an equidigital number, since it uses as much as digits as its factorization.

468881408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114497 (or 114475 counting only the distinct ones).

The product of its (nonzero) digits is 393216, while the sum is 47.

The square root of 468881408 is about 21653.6696197203. The cubic root of 468881408 is about 776.8807090769.

The spelling of 468881408 in words is "four hundred sixty-eight million, eight hundred eighty-one thousand, four hundred eight".

Divisors: 1 2 4 8 16 32 64 128 256 512 1024 2048 4096 114473 228946 457892 915784 1831568 3663136 7326272 14652544 29305088 58610176 117220352 234440704 468881408