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45642829 is a prime number
BaseRepresentation
bin1010111000011…
…1010001001101
310011212220012011
42232013101031
543141032304
64310141221
71062646321
oct256072115
9104786164
1045642829
1123845151
1213351811
1395c10bb
1460c1981
154018c04
hex2b8744d

45642829 has 2 divisors, whose sum is σ = 45642830. Its totient is φ = 45642828.

The previous prime is 45642791. The next prime is 45642851. The reversal of 45642829 is 92824654.

45642829 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 can be written as a sum of positive squares in only one way, i.e., 39664804 + 5978025 = 6298^2 + 2445^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-45642829 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 45642791 and 45642800.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (45642859) 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, 22821414 + 22821415.

It is an arithmetic number, because the mean of its divisors is an integer number (22821415).

Almost surely, 245642829 is an apocalyptic number.

It is an amenable number.

45642829 is a deficient number, since it is larger than the sum of its proper divisors (1).

45642829 is an equidigital number, since it uses as much as digits as its factorization.

45642829 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 138240, while the sum is 40.

The square root of 45642829 is about 6755.9476759371. The cubic root of 45642829 is about 357.3750136053.

The spelling of 45642829 in words is "forty-five million, six hundred forty-two thousand, eight hundred twenty-nine".