Search a number
-
+
54177941 is a prime number
BaseRepresentation
bin1100111010101…
…1000010010101
310202221112011102
43032223002111
5102332143231
65213115445
71225335116
oct316530225
9122845142
1054177941
1128644764
1216188b85
13b2bbc6c
1472a420d
154b52acb
hex33ab095

54177941 has 2 divisors, whose sum is σ = 54177942. Its totient is φ = 54177940.

The previous prime is 54177931. The next prime is 54177967. The reversal of 54177941 is 14977145.

54177941 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., 52562500 + 1615441 = 7250^2 + 1271^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-54177941 is a prime.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 54177895 and 54177904.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (54177901) 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, 27088970 + 27088971.

It is an arithmetic number, because the mean of its divisors is an integer number (27088971).

Almost surely, 254177941 is an apocalyptic number.

It is an amenable number.

54177941 is a deficient number, since it is larger than the sum of its proper divisors (1).

54177941 is an equidigital number, since it uses as much as digits as its factorization.

54177941 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 35280, while the sum is 38.

The square root of 54177941 is about 7360.5666222105. The cubic root of 54177941 is about 378.3910294296.

The spelling of 54177941 in words is "fifty-four million, one hundred seventy-seven thousand, nine hundred forty-one".