Search a number
-
+
54523349 is a prime number
BaseRepresentation
bin1100111111111…
…1010111010101
310210121001222022
43033333113111
5102424221344
65224342525
71231304126
oct317772725
9123531868
1054523349
1128860221
1216314a45
13b3b024a
14735404d
154bc00ee
hex33ff5d5

54523349 has 2 divisors, whose sum is σ = 54523350. Its totient is φ = 54523348.

The previous prime is 54523279. The next prime is 54523373. The reversal of 54523349 is 94332545.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 53553124 + 970225 = 7318^2 + 985^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-54523349 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (54523649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 27261674 + 27261675.

It is an arithmetic number, because the mean of its divisors is an integer number (27261675).

Almost surely, 254523349 is an apocalyptic number.

It is an amenable number.

54523349 is a deficient number, since it is larger than the sum of its proper divisors (1).

54523349 is an equidigital number, since it uses as much as digits as its factorization.

54523349 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 64800, while the sum is 35.

The square root of 54523349 is about 7383.9927546010. The cubic root of 54523349 is about 379.1934624920.

It can be divided in two parts, 54523 and 349, that added together give a cube (54872 = 383).

The spelling of 54523349 in words is "fifty-four million, five hundred twenty-three thousand, three hundred forty-nine".