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248540329 is a prime number
BaseRepresentation
bin11101101000001…
…10110010101001
3122022200011020101
432310012302221
51002111242304
640355025401
76105362242
oct1664066251
9568604211
10248540329
11118327034
126b29b261
133c6511ab
1425019cc9
1516c468a4
hexed06ca9

248540329 has 2 divisors, whose sum is σ = 248540330. Its totient is φ = 248540328.

The previous prime is 248540233. The next prime is 248540377. The reversal of 248540329 is 923045842.

It is a happy number.

248540329 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., 197346304 + 51194025 = 14048^2 + 7155^2 .

It is a cyclic number.

It is not a de Polignac number, because 248540329 - 223 = 240151721 is a prime.

It is not a weakly prime, because it can be changed into another prime (248540389) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 124270164 + 124270165.

It is an arithmetic number, because the mean of its divisors is an integer number (124270165).

Almost surely, 2248540329 is an apocalyptic number.

It is an amenable number.

248540329 is a deficient number, since it is larger than the sum of its proper divisors (1).

248540329 is an equidigital number, since it uses as much as digits as its factorization.

248540329 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 69120, while the sum is 37.

The square root of 248540329 is about 15765.1618767458. The cubic root of 248540329 is about 628.7320841980.

The spelling of 248540329 in words is "two hundred forty-eight million, five hundred forty thousand, three hundred twenty-nine".