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653065841 = 2325323293
BaseRepresentation
bin100110111011001…
…111111001110001
31200111212011220202
4212323033321301
52314141101331
6144445244545
722116653021
oct4673177161
91614764822
10653065841
1130570303a
12162863755
13a53b85bc
1462a3ba81
153c500ecb
hex26ecfe71

653065841 has 12 divisors (see below), whose sum is σ = 695605428. Its totient is φ = 612859104.

The previous prime is 653065813. The next prime is 653065859. The reversal of 653065841 is 148560356.

It can be written as a sum of positive squares in 2 ways, for example, as 205320241 + 447745600 = 14329^2 + 21160^2 .

It is a de Polignac number, because none of the positive numbers 2k-653065841 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 653065795 and 653065804.

It is not an unprimeable number, because it can be changed into a prime (653065801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16391 + ... + 39683.

It is an arithmetic number, because the mean of its divisors is an integer number (57967119).

Almost surely, 2653065841 is an apocalyptic number.

It is an amenable number.

653065841 is a deficient number, since it is larger than the sum of its proper divisors (42539587).

653065841 is a wasteful number, since it uses less digits than its factorization.

653065841 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23392 (or 23369 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 38.

The square root of 653065841 is about 25555.1529246060. The cubic root of 653065841 is about 867.5988934589.

The spelling of 653065841 in words is "six hundred fifty-three million, sixty-five thousand, eight hundred forty-one".

Divisors: 1 23 53 529 1219 23293 28037 535739 1234529 12321997 28394167 653065841