Search a number
-
+
38642629 is a prime number
BaseRepresentation
bin1001001101101…
…0001111000101
32200201020201111
42103122033011
534343031004
63500125021
7646312504
oct223321705
980636644
1038642629
111a8a3863
1210b36771
13800ca7c
1451bc83b
1535d4a04
hex24da3c5

38642629 has 2 divisors, whose sum is σ = 38642630. Its totient is φ = 38642628.

The previous prime is 38642621. The next prime is 38642633. The reversal of 38642629 is 92624683.

38642629 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., 37540129 + 1102500 = 6127^2 + 1050^2 .

It is a cyclic number.

It is not a de Polignac number, because 38642629 - 23 = 38642621 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 38642591 and 38642600.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (38642621) 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, 19321314 + 19321315.

It is an arithmetic number, because the mean of its divisors is an integer number (19321315).

Almost surely, 238642629 is an apocalyptic number.

It is an amenable number.

38642629 is a deficient number, since it is larger than the sum of its proper divisors (1).

38642629 is an equidigital number, since it uses as much as digits as its factorization.

38642629 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 124416, while the sum is 40.

The square root of 38642629 is about 6216.3195702924. The cubic root of 38642629 is about 338.0821346093.

The spelling of 38642629 in words is "thirty-eight million, six hundred forty-two thousand, six hundred twenty-nine".