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540056561 = 111779139263
BaseRepresentation
bin100000001100001…
…001101111110001
31101122012201022212
4200030021233301
52101223302221
6125331141505
716245255632
oct4014115761
91348181285
10540056561
11257936540
12130a44895
1387b6b5c5
1451a21889
153262bb5b
hex20309bf1

540056561 has 32 divisors (see below), whose sum is σ = 638668800. Its totient is φ = 451226880.

The previous prime is 540056557. The next prime is 540056563. The reversal of 540056561 is 165650045.

It is a cyclic number.

It is not a de Polignac number, because 540056561 - 22 = 540056557 is a prime.

It is a super-2 number, since 2×5400565612 = 583322178158293442, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (540056563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2053316 + ... + 2053578.

It is an arithmetic number, because the mean of its divisors is an integer number (19958400).

Almost surely, 2540056561 is an apocalyptic number.

It is an amenable number.

540056561 is a deficient number, since it is larger than the sum of its proper divisors (98612239).

540056561 is a wasteful number, since it uses less digits than its factorization.

540056561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 509.

The product of its (nonzero) digits is 18000, while the sum is 32.

The square root of 540056561 is about 23239.1170443285. The cubic root of 540056561 is about 814.3537154997.

The spelling of 540056561 in words is "five hundred forty million, fifty-six thousand, five hundred sixty-one".

Divisors: 1 11 17 79 139 187 263 869 1343 1529 2363 2893 4471 10981 14773 20777 25993 36557 49181 120791 186677 228547 353209 402127 621469 2053447 2888003 3885299 6836159 31768033 49096051 540056561