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540413425 = 52171271561
BaseRepresentation
bin100000001101100…
…000110111110001
31101122212211212001
4200031200313301
52101321212200
6125342534001
716251303226
oct4015406761
91348784761
10540413425
1125805a672
12130b97301
1387c64b76
1451ab594d
153269c76a
hex20360df1

540413425 has 12 divisors (see below), whose sum is σ = 709531596. Its totient is φ = 406899200.

The previous prime is 540413417. The next prime is 540413431. The reversal of 540413425 is 524314045.

540413425 is digitally balanced in base 6, 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 6 ways, for example, as 41873841 + 498539584 = 6471^2 + 22328^2 .

It is not a de Polignac number, because 540413425 - 23 = 540413417 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 540413393 and 540413402.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 635356 + ... + 636205.

It is an arithmetic number, because the mean of its divisors is an integer number (59127633).

Almost surely, 2540413425 is an apocalyptic number.

It is an amenable number.

540413425 is a deficient number, since it is larger than the sum of its proper divisors (169118171).

540413425 is a wasteful number, since it uses less digits than its factorization.

540413425 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1271588 (or 1271583 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 28.

The square root of 540413425 is about 23246.7938649612. The cubic root of 540413425 is about 814.5330482816.

The spelling of 540413425 in words is "five hundred forty million, four hundred thirteen thousand, four hundred twenty-five".

Divisors: 1 5 17 25 85 425 1271561 6357805 21616537 31789025 108082685 540413425