Search a number
-
+
55264541 is a prime number
BaseRepresentation
bin1101001011010…
…0010100011101
310211222201200212
43102310110131
5103121431131
65252302205
71240512053
oct322642435
9124881625
1055264541
1129217082
1216611965
13b5ac717
1474a81d3
154cb9a2b
hex34b451d

55264541 has 2 divisors, whose sum is σ = 55264542. Its totient is φ = 55264540.

The previous prime is 55264519. The next prime is 55264543. The reversal of 55264541 is 14546255.

55264541 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., 28783225 + 26481316 = 5365^2 + 5146^2 .

It is a cyclic number.

It is not a de Polignac number, because 55264541 - 26 = 55264477 is a prime.

Together with 55264543, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 55264498 and 55264507.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (55264543) 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, 27632270 + 27632271.

It is an arithmetic number, because the mean of its divisors is an integer number (27632271).

Almost surely, 255264541 is an apocalyptic number.

It is an amenable number.

55264541 is a deficient number, since it is larger than the sum of its proper divisors (1).

55264541 is an equidigital number, since it uses as much as digits as its factorization.

55264541 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 24000, while the sum is 32.

The square root of 55264541 is about 7434.0124428198. The cubic root of 55264541 is about 380.9039904311.

The spelling of 55264541 in words is "fifty-five million, two hundred sixty-four thousand, five hundred forty-one".