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540881577 = 33371314133
BaseRepresentation
bin100000001111010…
…011001010101001
31101200202122001000
4200033103022221
52101431202302
6125400545213
716255263135
oct4017231251
91350678030
10540881577
1125834a375
12131182209
1388099c92
1451b983c5
153274131c
hex203d32a9

540881577 has 32 divisors (see below), whose sum is σ = 829445760. Its totient is φ = 348079680.

The previous prime is 540881573. The next prime is 540881587. The reversal of 540881577 is 775188045.

It is a happy number.

It is not a de Polignac number, because 540881577 - 22 = 540881573 is a prime.

It is not an unprimeable number, because it can be changed into a prime (540881573) 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, 128803 + ... + 132935.

It is an arithmetic number, because the mean of its divisors is an integer number (25920180).

Almost surely, 2540881577 is an apocalyptic number.

It is an amenable number.

540881577 is a deficient number, since it is larger than the sum of its proper divisors (288564183).

540881577 is a wasteful number, since it uses less digits than its factorization.

540881577 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4310 (or 4304 counting only the distinct ones).

The product of its (nonzero) digits is 313600, while the sum is 45.

The square root of 540881577 is about 23256.8608586800. The cubic root of 540881577 is about 814.7681862943.

The spelling of 540881577 in words is "five hundred forty million, eight hundred eighty-one thousand, five hundred seventy-seven".

Divisors: 1 3 9 27 37 111 131 333 393 999 1179 3537 4133 4847 12399 14541 37197 43623 111591 130869 152921 458763 541423 1376289 1624269 4128867 4872807 14618421 20032651 60097953 180293859 540881577