Search a number
-
+
248072329 is a prime number
BaseRepresentation
bin11101100100101…
…00100010001001
3122021210101021001
432302110202021
51002001303304
640341015001
76101402641
oct1662244211
9567711231
10248072329
1111803745a
126b0b4461
133c51917b
1424d37521
1516ba2da4
hexec94889

248072329 has 2 divisors, whose sum is σ = 248072330. Its totient is φ = 248072328.

The previous prime is 248072269. The next prime is 248072333. The reversal of 248072329 is 923270842.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 220225600 + 27846729 = 14840^2 + 5277^2 .

It is a cyclic number.

It is not a de Polignac number, because 248072329 - 213 = 248064137 is a prime.

It is not a weakly prime, because it can be changed into another prime (248072369) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 124036164 + 124036165.

It is an arithmetic number, because the mean of its divisors is an integer number (124036165).

Almost surely, 2248072329 is an apocalyptic number.

It is an amenable number.

248072329 is a deficient number, since it is larger than the sum of its proper divisors (1).

248072329 is an equidigital number, since it uses as much as digits as its factorization.

248072329 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 48384, while the sum is 37.

The square root of 248072329 is about 15750.3120286552. The cubic root of 248072329 is about 628.3372032836.

The spelling of 248072329 in words is "two hundred forty-eight million, seventy-two thousand, three hundred twenty-nine".