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53142641 is a prime number
BaseRepresentation
bin1100101010111…
…0010001110001
310200222220222222
43022232101301
5102101031031
65135010425
71213463546
oct312562161
9120886888
1053142641
1127aa7942
1215969a15
13b018966
1470b4bcd
1549eae7b
hex32ae471

53142641 has 2 divisors, whose sum is σ = 53142642. Its totient is φ = 53142640.

The previous prime is 53142637. The next prime is 53142647. The reversal of 53142641 is 14624135.

53142641 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 27081616 + 26061025 = 5204^2 + 5105^2 .

It is a cyclic number.

It is not a de Polignac number, because 53142641 - 22 = 53142637 is a prime.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 53142641.

It is not a weakly prime, because it can be changed into another prime (53142647) 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 as a sum of consecutive naturals, namely, 26571320 + 26571321.

It is an arithmetic number, because the mean of its divisors is an integer number (26571321).

Almost surely, 253142641 is an apocalyptic number.

It is an amenable number.

53142641 is a deficient number, since it is larger than the sum of its proper divisors (1).

53142641 is an equidigital number, since it uses as much as digits as its factorization.

53142641 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2880, while the sum is 26.

The square root of 53142641 is about 7289.8999307261. The cubic root of 53142641 is about 375.9652549190.

Adding to 53142641 its reverse (14624135), we get a palindrome (67766776).

The spelling of 53142641 in words is "fifty-three million, one hundred forty-two thousand, six hundred forty-one".