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48757 is a prime number
BaseRepresentation
bin1011111001110101
32110212211
423321311
53030012
61013421
7262102
oct137165
973784
1048757
11336a5
1224271
1319267
1413aa9
15e6a7
hexbe75

48757 has 2 divisors, whose sum is σ = 48758. Its totient is φ = 48756.

The previous prime is 48751. The next prime is 48761. The reversal of 48757 is 75784.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 34596 + 14161 = 186^2 + 119^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-48757 is a prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (48751) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a good prime.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 24378 + 24379.

It is an arithmetic number, because the mean of its divisors is an integer number (24379).

48757 is a Friedman number, since it can be written as 7+78*5^4, using all its digits and the basic arithmetic operations.

248757 is an apocalyptic number.

It is an amenable number.

48757 is a deficient number, since it is larger than the sum of its proper divisors (1).

48757 is an equidigital number, since it uses as much as digits as its factorization.

48757 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 7840, while the sum is 31.

The square root of 48757 is about 220.8098729677. The cubic root of 48757 is about 36.5324662654.

The spelling of 48757 in words is "forty-eight thousand, seven hundred fifty-seven".