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52735031 is a prime number
BaseRepresentation
bin1100100100101…
…0110000110111
310200020012212022
43021022300313
5102000010111
65122143355
71210145306
oct311126067
9120205768
1052735031
1127849678
12157b1b5b
13ac0527b
14700a43d
15496a2db
hex324ac37

52735031 has 2 divisors, whose sum is σ = 52735032. Its totient is φ = 52735030.

The previous prime is 52735009. The next prime is 52735043. The reversal of 52735031 is 13053725.

52735031 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-52735031 is a prime.

It is a super-2 number, since 2×527350312 = 5561966989141922, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (52735091) 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, 26367515 + 26367516.

It is an arithmetic number, because the mean of its divisors is an integer number (26367516).

Almost surely, 252735031 is an apocalyptic number.

52735031 is a deficient number, since it is larger than the sum of its proper divisors (1).

52735031 is an equidigital number, since it uses as much as digits as its factorization.

52735031 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3150, while the sum is 26.

The square root of 52735031 is about 7261.8889415909. Note that the first 3 decimals coincide. The cubic root of 52735031 is about 375.0015549565.

Adding to 52735031 its reverse (13053725), we get a palindrome (65788756).

The spelling of 52735031 in words is "fifty-two million, seven hundred thirty-five thousand, thirty-one".