Search a number
-
+
37428161 is a prime number
BaseRepresentation
bin1000111011000…
…1101111000001
32121102112210012
42032301233001
534040200121
63414114305
7633064001
oct216615701
977375705
1037428161
111a144371
121064b995
1379a6054
144d84001
153444c5b
hex23b1bc1

37428161 has 2 divisors, whose sum is σ = 37428162. Its totient is φ = 37428160.

The previous prime is 37428151. The next prime is 37428173. The reversal of 37428161 is 16182473.

37428161 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., 35343025 + 2085136 = 5945^2 + 1444^2 .

It is an emirp because it is prime and its reverse (16182473) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-37428161 is a prime.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (37428151) 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, 18714080 + 18714081.

It is an arithmetic number, because the mean of its divisors is an integer number (18714081).

Almost surely, 237428161 is an apocalyptic number.

It is an amenable number.

37428161 is a deficient number, since it is larger than the sum of its proper divisors (1).

37428161 is an equidigital number, since it uses as much as digits as its factorization.

37428161 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 8064, while the sum is 32.

The square root of 37428161 is about 6117.8559152697. The cubic root of 37428161 is about 334.5025988807.

The spelling of 37428161 in words is "thirty-seven million, four hundred twenty-eight thousand, one hundred sixty-one".