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48131 is a prime number
BaseRepresentation
bin1011110000000011
32110000122
423300003
53020011
61010455
7260216
oct136003
973018
1048131
1133186
1223a2b
1318ba5
141377d
15e3db
hexbc03

48131 has 2 divisors, whose sum is σ = 48132. Its totient is φ = 48130.

The previous prime is 48121. The next prime is 48157. The reversal of 48131 is 13184.

It is a happy number.

It is a weak prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-48131 is a prime.

It is a super-2 number, since 2×481312 = 4633186322, which contains 22 as substring.

It is a Sophie Germain prime.

It is a Chen prime.

It is a plaindrome in base 14.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 48131.

It is not a weakly prime, because it can be changed into another prime (48121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 24065 + 24066.

It is an arithmetic number, because the mean of its divisors is an integer number (24066).

248131 is an apocalyptic number.

48131 is a deficient number, since it is larger than the sum of its proper divisors (1).

48131 is an equidigital number, since it uses as much as digits as its factorization.

48131 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 96, while the sum is 17.

The square root of 48131 is about 219.3877845278. The cubic root of 48131 is about 36.3754433251.

It can be divided in two parts, 481 and 31, that added together give a 9-th power (512 = 29).

The spelling of 48131 in words is "forty-eight thousand, one hundred thirty-one".