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248442325 = 52611011613
BaseRepresentation
bin11101100111011…
…10110111010101
3122022111011210121
432303232313111
51002100123300
640352551541
76104503435
oct1663566725
9568434717
10248442325
1111826a43a
126b2525b1
133c6186c1
1424dd22c5
1516c2781a
hexeceedd5

248442325 has 24 divisors (see below), whose sum is σ = 316415016. Its totient is φ = 193440000.

The previous prime is 248442319. The next prime is 248442331. The reversal of 248442325 is 523244842.

It is an interprime number because it is at equal distance from previous prime (248442319) and next prime (248442331).

It can be written as a sum of positive squares in 12 ways, for example, as 53085796 + 195356529 = 7286^2 + 13977^2 .

It is not a de Polignac number, because 248442325 - 29 = 248441813 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 153219 + ... + 154831.

It is an arithmetic number, because the mean of its divisors is an integer number (13183959).

Almost surely, 2248442325 is an apocalyptic number.

248442325 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

248442325 is a deficient number, since it is larger than the sum of its proper divisors (67972691).

248442325 is a wasteful number, since it uses less digits than its factorization.

248442325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1785 (or 1780 counting only the distinct ones).

The product of its digits is 61440, while the sum is 34.

The square root of 248442325 is about 15762.0533243610. The cubic root of 248442325 is about 628.6494331445.

The spelling of 248442325 in words is "two hundred forty-eight million, four hundred forty-two thousand, three hundred twenty-five".

Divisors: 1 5 25 61 101 305 505 1525 1613 2525 6161 8065 30805 40325 98393 154025 162913 491965 814565 2459825 4072825 9937693 49688465 248442325