Search a number
-
+
54535141 is a prime number
BaseRepresentation
bin1101000000001…
…0001111100101
310210121200011001
43100002033211
5102430111031
65224513301
71231353403
oct320021745
9123550131
1054535141
1128869071
121631b831
13b3b571b
147358473
154bc3861
hex34023e5

54535141 has 2 divisors, whose sum is σ = 54535142. Its totient is φ = 54535140.

The previous prime is 54535097. The next prime is 54535153. The reversal of 54535141 is 14153545.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 52504516 + 2030625 = 7246^2 + 1425^2 .

It is a cyclic number.

It is not a de Polignac number, because 54535141 - 213 = 54526949 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (54535241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 27267570 + 27267571.

It is an arithmetic number, because the mean of its divisors is an integer number (27267571).

Almost surely, 254535141 is an apocalyptic number.

It is an amenable number.

54535141 is a deficient number, since it is larger than the sum of its proper divisors (1).

54535141 is an equidigital number, since it uses as much as digits as its factorization.

54535141 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 6000, while the sum is 28.

The square root of 54535141 is about 7384.7911954232. The cubic root of 54535141 is about 379.2207971237.

Adding to 54535141 its reverse (14153545), we get a palindrome (68688686).

The spelling of 54535141 in words is "fifty-four million, five hundred thirty-five thousand, one hundred forty-one".