Search a number
-
+
248253781 is a prime number
BaseRepresentation
bin11101100110000…
…00110101010101
3122022010121011111
432303000311111
51002023110111
640344535021
76103056646
oct1663006525
9568117144
10248253781
11118150816
126b181471
133c580939
1424d836cd
1516bdba21
hexecc0d55

248253781 has 2 divisors, whose sum is σ = 248253782. Its totient is φ = 248253780.

The previous prime is 248253773. The next prime is 248253799. The reversal of 248253781 is 187352842.

It is a happy number.

248253781 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 225300100 + 22953681 = 15010^2 + 4791^2 .

It is a cyclic number.

It is not a de Polignac number, because 248253781 - 23 = 248253773 is a prime.

It is a super-3 number, since 3×2482537813 (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is equal to p13588960 and since 248253781 and 13588960 have the same sum of digits, it is a Honaker prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (248253721) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 124126890 + 124126891.

It is an arithmetic number, because the mean of its divisors is an integer number (124126891).

Almost surely, 2248253781 is an apocalyptic number.

It is an amenable number.

248253781 is a deficient number, since it is larger than the sum of its proper divisors (1).

248253781 is an equidigital number, since it uses as much as digits as its factorization.

248253781 is an evil number, because the sum of its binary digits is even.

The product of its digits is 107520, while the sum is 40.

The square root of 248253781 is about 15756.0712425401. The cubic root of 248253781 is about 628.4903646026.

The spelling of 248253781 in words is "two hundred forty-eight million, two hundred fifty-three thousand, seven hundred eighty-one".