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542517661 = 7276114549
BaseRepresentation
bin100000010101100…
…010100110011101
31101210211202022201
4200111202212131
52102341031121
6125500011501
716305216100
oct4025424635
91353752281
10542517661
11259267604
12131830b91
138852088a
14520a2737
1532965e91
hex2056299d

542517661 has 12 divisors (see below), whose sum is σ = 631964700. Its totient is φ = 464372160.

The previous prime is 542517653. The next prime is 542517691. The reversal of 542517661 is 166715245.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 174108025 + 368409636 = 13195^2 + 19194^2 .

It is not a de Polignac number, because 542517661 - 23 = 542517653 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 542517661.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (542517691) 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 11 ways as a sum of consecutive naturals, for example, 30015 + ... + 44563.

It is an arithmetic number, because the mean of its divisors is an integer number (52663725).

Almost surely, 2542517661 is an apocalyptic number.

It is an amenable number.

542517661 is a deficient number, since it is larger than the sum of its proper divisors (89447039).

542517661 is a wasteful number, since it uses less digits than its factorization.

542517661 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15324 (or 15317 counting only the distinct ones).

The product of its digits is 50400, while the sum is 37.

The square root of 542517661 is about 23292.0085222378. The cubic root of 542517661 is about 815.5888757233.

The spelling of 542517661 in words is "five hundred forty-two million, five hundred seventeen thousand, six hundred sixty-one".

Divisors: 1 7 49 761 5327 14549 37289 101843 712901 11071789 77502523 542517661