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450768681 = 32112478807
BaseRepresentation
bin11010110111100…
…010111100101001
31011102012102101100
4122313202330221
51410344044211
6112421312013
714112320256
oct3267427451
91142172340
10450768681
112114a1200
12106b65609
137250883c
1443c1c42d
1529891156
hex1ade2f29

450768681 has 36 divisors (see below), whose sum is σ = 730993536. Its totient is φ = 267350160.

The previous prime is 450768671. The next prime is 450768739. The reversal of 450768681 is 186867054.

It is a happy number.

450768681 is a `hidden beast` number, since 4 + 507 + 68 + 6 + 81 = 666.

It is not a de Polignac number, because 450768681 - 27 = 450768553 is a prime.

It is a super-2 number, since 2×4507686812 = 406384807540959522, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (450768671) 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 35 ways as a sum of consecutive naturals, for example, 46780 + ... + 55586.

It is an arithmetic number, because the mean of its divisors is an integer number (20305376).

Almost surely, 2450768681 is an apocalyptic number.

It is an amenable number.

450768681 is a deficient number, since it is larger than the sum of its proper divisors (280224855).

450768681 is a wasteful number, since it uses less digits than its factorization.

450768681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8882 (or 8868 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 450768681 is about 21231.3136899251. The cubic root of 450768681 is about 766.7455156669.

The spelling of 450768681 in words is "four hundred fifty million, seven hundred sixty-eight thousand, six hundred eighty-one".

Divisors: 1 3 9 11 33 47 99 121 141 363 423 517 1089 1551 4653 5687 8807 17061 26421 51183 79263 96877 290631 413929 871893 1065647 1241787 3196941 3725361 4553219 9590823 13659657 40978971 50085409 150256227 450768681