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542361681 = 32157383837
BaseRepresentation
bin100000010100111…
…100100001010001
31101210112211100200
4200110330201101
52102321033211
6125452405413
716303666251
oct4024744121
91353484320
10542361681
112591703a4
12131776869
1388497894
1452061961
1532934b56
hex2053c851

542361681 has 12 divisors (see below), whose sum is σ = 788403252. Its totient is φ = 359270496.

The previous prime is 542361581. The next prime is 542361691. The reversal of 542361681 is 186163245.

It is a happy number.

542361681 is a `hidden beast` number, since 542 + 36 + 1 + 6 + 81 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 398361681 + 144000000 = 19959^2 + 12000^2 .

It is not a de Polignac number, because 542361681 - 210 = 542360657 is a prime.

It is a super-2 number, since 2×5423616812 = 588312386034291522, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (542361691) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 190506 + ... + 193331.

It is an arithmetic number, because the mean of its divisors is an integer number (65700271).

Almost surely, 2542361681 is an apocalyptic number.

It is an amenable number.

542361681 is a deficient number, since it is larger than the sum of its proper divisors (246041571).

542361681 is a wasteful number, since it uses less digits than its factorization.

542361681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384000 (or 383997 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 542361681 is about 23288.6599228036. The cubic root of 542361681 is about 815.5107045374.

The spelling of 542361681 in words is "five hundred forty-two million, three hundred sixty-one thousand, six hundred eighty-one".

Divisors: 1 3 9 157 471 1413 383837 1151511 3454533 60262409 180787227 542361681