Search a number
-
+
54633373 is a prime number
BaseRepresentation
bin1101000001101…
…0001110011101
310210210122220021
43100122032131
5102441231443
65230552141
71232242654
oct320321635
9123718807
1054633373
1128925953
1216368651
13b41b352
14738219b
154be29ed
hex341a39d

54633373 has 2 divisors, whose sum is σ = 54633374. Its totient is φ = 54633372.

The previous prime is 54633347. The next prime is 54633389. The reversal of 54633373 is 37333645.

54633373 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 36638809 + 17994564 = 6053^2 + 4242^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-54633373 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (54633343) 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, 27316686 + 27316687.

It is an arithmetic number, because the mean of its divisors is an integer number (27316687).

Almost surely, 254633373 is an apocalyptic number.

It is an amenable number.

54633373 is a deficient number, since it is larger than the sum of its proper divisors (1).

54633373 is an equidigital number, since it uses as much as digits as its factorization.

54633373 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 68040, while the sum is 34.

The square root of 54633373 is about 7391.4391697422. The cubic root of 54633373 is about 379.4483523746.

It can be divided in two parts, 5463 and 3373, that added together give a square (8836 = 942).

The spelling of 54633373 in words is "fifty-four million, six hundred thirty-three thousand, three hundred seventy-three".