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248168385 = 32538914177
BaseRepresentation
bin11101100101010…
…11111111000001
3122021222021000200
432302223333001
51002012342020
640343035413
76102252663
oct1662537701
9567867020
10248168385
111180a2643
126b13bb69
133c550aca
1424d60533
1516bc1590
hexecabfc1

248168385 has 24 divisors (see below), whose sum is σ = 431294760. Its totient is φ = 132006912.

The previous prime is 248168383. The next prime is 248168407. The reversal of 248168385 is 583861842.

It can be written as a sum of positive squares in 4 ways, for example, as 65999376 + 182169009 = 8124^2 + 13497^2 .

It is not a de Polignac number, because 248168385 - 21 = 248168383 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 248168385.

It is not an unprimeable number, because it can be changed into a prime (248168383) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10417 + ... + 24593.

It is an arithmetic number, because the mean of its divisors is an integer number (17970615).

Almost surely, 2248168385 is an apocalyptic number.

It is an amenable number.

248168385 is a deficient number, since it is larger than the sum of its proper divisors (183126375).

248168385 is a wasteful number, since it uses less digits than its factorization.

248168385 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14577 (or 14574 counting only the distinct ones).

The product of its digits is 368640, while the sum is 45.

The square root of 248168385 is about 15753.3610699431. The cubic root of 248168385 is about 628.4182922282.

The spelling of 248168385 in words is "two hundred forty-eight million, one hundred sixty-eight thousand, three hundred eighty-five".

Divisors: 1 3 5 9 15 45 389 1167 1945 3501 5835 14177 17505 42531 70885 127593 212655 637965 5514853 16544559 27574265 49633677 82722795 248168385