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450081641 = 23414491063
BaseRepresentation
bin11010110100111…
…011001101101001
31011100220111221102
4122310323031221
51410210103031
6112354451145
714103426242
oct3264731551
91140814842
10450081641
11211071aa9
12106893ab5
1372327bc9
1443abdcc9
15297a77cb
hex1ad3b369

450081641 has 16 divisors (see below), whose sum is σ = 482630400. Its totient is φ = 418682880.

The previous prime is 450081629. The next prime is 450081689. The reversal of 450081641 is 146180054.

It is a cyclic number.

It is not a de Polignac number, because 450081641 - 218 = 449819497 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (450081941) 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 15 ways as a sum of consecutive naturals, for example, 422876 + ... + 423938.

It is an arithmetic number, because the mean of its divisors is an integer number (30164400).

Almost surely, 2450081641 is an apocalyptic number.

450081641 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

450081641 is a deficient number, since it is larger than the sum of its proper divisors (32548759).

450081641 is a wasteful number, since it uses less digits than its factorization.

450081641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1576.

The product of its (nonzero) digits is 3840, while the sum is 29.

The square root of 450081641 is about 21215.1276451498. The cubic root of 450081641 is about 766.3557720123.

The spelling of 450081641 in words is "four hundred fifty million, eighty-one thousand, six hundred forty-one".

Divisors: 1 23 41 449 943 1063 10327 18409 24449 43583 423407 477287 1002409 10977601 19568767 450081641