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248380816 = 24101153701
BaseRepresentation
bin11101100110111…
…11110110010000
3122022101001102111
432303133312100
51002041141231
640351355104
76104126215
oct1663376620
9568331374
10248380816
11118228202
126b222a94
133c5c66c8
1424db7b0c
1516c144b1
hexecdfd90

248380816 has 20 divisors (see below), whose sum is σ = 486005724. Its totient is φ = 122960000.

The previous prime is 248380813. The next prime is 248380849. The reversal of 248380816 is 618083842.

It can be written as a sum of positive squares in 2 ways, for example, as 228130816 + 20250000 = 15104^2 + 4500^2 .

It is not an unprimeable number, because it can be changed into a prime (248380813) 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 3 ways as a sum of consecutive naturals, for example, 75235 + ... + 78466.

Almost surely, 2248380816 is an apocalyptic number.

It is an amenable number.

248380816 is a deficient number, since it is larger than the sum of its proper divisors (237624908).

248380816 is a wasteful number, since it uses less digits than its factorization.

248380816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153810 (or 153804 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 40.

The square root of 248380816 is about 15760.1020301266. The cubic root of 248380816 is about 628.5975488162.

The spelling of 248380816 in words is "two hundred forty-eight million, three hundred eighty thousand, eight hundred sixteen".

Divisors: 1 2 4 8 16 101 202 404 808 1616 153701 307402 614804 1229608 2459216 15523801 31047602 62095204 124190408 248380816