Search a number
-
+
42611627 is a prime number
BaseRepresentation
bin1010001010001…
…1001110101011
32222011220011102
42202203032223
541402033002
64121152015
71025123102
oct242431653
988156142
1042611627
1122064823
121232b60b
138a9c4a6
145933039
153b1aa02
hex28a33ab

42611627 has 2 divisors, whose sum is σ = 42611628. Its totient is φ = 42611626.

The previous prime is 42611603. The next prime is 42611641. The reversal of 42611627 is 72611624.

42611627 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-42611627 is a prime.

It is equal to p2582516 and since 42611627 and 2582516 have the same sum of digits, it is a Honaker prime.

It is a self number, because there is not a number n which added to its sum of digits gives 42611627.

It is not a weakly prime, because it can be changed into another prime (42610627) 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, 21305813 + 21305814.

It is an arithmetic number, because the mean of its divisors is an integer number (21305814).

Almost surely, 242611627 is an apocalyptic number.

42611627 is a deficient number, since it is larger than the sum of its proper divisors (1).

42611627 is an equidigital number, since it uses as much as digits as its factorization.

42611627 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 4032, while the sum is 29.

The square root of 42611627 is about 6527.7581909872. The cubic root of 42611627 is about 349.2818663090.

The spelling of 42611627 in words is "forty-two million, six hundred eleven thousand, six hundred twenty-seven".