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542610641 = 1723260337
BaseRepresentation
bin100000010101111…
…001010011010001
31101211000110212102
4200111321103101
52102402020031
6125502010145
716306054136
oct4025712321
91354013772
10542610641
11259320451
12131876955
1388553cb1
14520c858d
15329837cb
hex205794d1

542610641 has 12 divisors (see below), whose sum is σ = 600604452. Its totient is φ = 488480256.

The previous prime is 542610637. The next prime is 542610643. The reversal of 542610641 is 146016245.

It can be written as a sum of positive squares in 2 ways, for example, as 224880016 + 317730625 = 14996^2 + 17825^2 .

It is not a de Polignac number, because 542610641 - 22 = 542610637 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (542610643) 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, 21176 + ... + 39161.

It is an arithmetic number, because the mean of its divisors is an integer number (50050371).

Almost surely, 2542610641 is an apocalyptic number.

It is an amenable number.

542610641 is a deficient number, since it is larger than the sum of its proper divisors (57993811).

542610641 is a wasteful number, since it uses less digits than its factorization.

542610641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60400 (or 60377 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 29.

The square root of 542610641 is about 23294.0044002743. The cubic root of 542610641 is about 815.6354666009.

Adding to 542610641 its reverse (146016245), we get a palindrome (688626886).

The spelling of 542610641 in words is "five hundred forty-two million, six hundred ten thousand, six hundred forty-one".

Divisors: 1 17 23 391 529 8993 60337 1025729 1387751 23591767 31918273 542610641