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540503729 = 17277114781
BaseRepresentation
bin100000001101110…
…110111010110001
31101200001102201122
4200031312322301
52101332104404
6125344512025
716252130423
oct4015667261
91350042648
10540503729
112581114a7
1213101b615
1387c96cbc
1451ada813
15326b93be
hex20376eb1

540503729 has 8 divisors (see below), whose sum is σ = 574369128. Its totient is φ = 506868480.

The previous prime is 540503707. The next prime is 540503731. The reversal of 540503729 is 927305045.

540503729 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 34225 + 540469504 = 185^2 + 23248^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 540503729 - 212 = 540499633 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (540500729) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 52682 + ... + 62099.

It is an arithmetic number, because the mean of its divisors is an integer number (71796141).

Almost surely, 2540503729 is an apocalyptic number.

It is an amenable number.

540503729 is a deficient number, since it is larger than the sum of its proper divisors (33865399).

540503729 is a wasteful number, since it uses less digits than its factorization.

540503729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115075.

The product of its (nonzero) digits is 37800, while the sum is 35.

The square root of 540503729 is about 23248.7360731718. The cubic root of 540503729 is about 814.5784157060.

The spelling of 540503729 in words is "five hundred forty million, five hundred three thousand, seven hundred twenty-nine".

Divisors: 1 17 277 4709 114781 1951277 31794337 540503729