Search a number
-
+
54037457 is a prime number
BaseRepresentation
bin1100111000100…
…0101111010001
310202200101110022
43032020233101
5102313144312
65210113225
71224211415
oct316105721
9122611408
1054037457
1128559161
121611b815
13b270036
147268d45
154b26172
hex3388bd1

54037457 has 2 divisors, whose sum is σ = 54037458. Its totient is φ = 54037456.

The previous prime is 54037453. The next prime is 54037471. The reversal of 54037457 is 75473045.

54037457 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., 54037201 + 256 = 7351^2 + 16^2 .

It is a cyclic number.

It is not a de Polignac number, because 54037457 - 22 = 54037453 is a prime.

It is not a weakly prime, because it can be changed into another prime (54037453) 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, 27018728 + 27018729.

It is an arithmetic number, because the mean of its divisors is an integer number (27018729).

Almost surely, 254037457 is an apocalyptic number.

It is an amenable number.

54037457 is a deficient number, since it is larger than the sum of its proper divisors (1).

54037457 is an equidigital number, since it uses as much as digits as its factorization.

54037457 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 58800, while the sum is 35.

The square root of 54037457 is about 7351.0174125763. The cubic root of 54037457 is about 378.0636889596.

The spelling of 54037457 in words is "fifty-four million, thirty-seven thousand, four hundred fifty-seven".