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540454661 = 4152125301
BaseRepresentation
bin100000001101101…
…010111100000101
31101122221221102022
4200031222330011
52101324022121
6125343452525
716251534365
oct4015527405
91348857368
10540454661
1125808864a
12130bb7145
1387c7a876
1451ac69a5
15326a9aab
hex2036af05

540454661 has 8 divisors (see below), whose sum is σ = 554721048. Its totient is φ = 526240000.

The previous prime is 540454637. The next prime is 540454687. The reversal of 540454661 is 166454045.

It can be written as a sum of positive squares in 4 ways, for example, as 2910436 + 537544225 = 1706^2 + 23185^2 .

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 540454661 - 210 = 540453637 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (540454631) 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 7 ways as a sum of consecutive naturals, for example, 8711 + ... + 34011.

It is an arithmetic number, because the mean of its divisors is an integer number (69340131).

Almost surely, 2540454661 is an apocalyptic number.

It is an amenable number.

540454661 is a deficient number, since it is larger than the sum of its proper divisors (14266387).

540454661 is a wasteful number, since it uses less digits than its factorization.

540454661 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25863.

The product of its (nonzero) digits is 57600, while the sum is 35.

The square root of 540454661 is about 23247.6807660463. The cubic root of 540454661 is about 814.5537652789.

The spelling of 540454661 in words is "five hundred forty million, four hundred fifty-four thousand, six hundred sixty-one".

Divisors: 1 41 521 21361 25301 1037341 13181821 540454661