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53149 is a prime number
BaseRepresentation
bin1100111110011101
32200220111
430332131
53200044
61050021
7310645
oct147635
980814
1053149
1136a28
1226911
131b265
1415525
1510b34
hexcf9d

53149 has 2 divisors, whose sum is σ = 53150. Its totient is φ = 53148.

The previous prime is 53147. The next prime is 53161. The reversal of 53149 is 94135.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 47524 + 5625 = 218^2 + 75^2 .

It is a cyclic number.

It is not a de Polignac number, because 53149 - 21 = 53147 is a prime.

Together with 53147, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (53147) 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, 26574 + 26575.

It is an arithmetic number, because the mean of its divisors is an integer number (26575).

253149 is an apocalyptic number.

It is an amenable number.

53149 is a deficient number, since it is larger than the sum of its proper divisors (1).

53149 is an equidigital number, since it uses as much as digits as its factorization.

53149 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 540, while the sum is 22.

The square root of 53149 is about 230.5406688634. The cubic root of 53149 is about 37.5980250208.

It can be divided in two parts, 53 and 149, that added together give a palindrome (202).

The spelling of 53149 in words is "fifty-three thousand, one hundred forty-nine".