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248314665 = 35179710039
BaseRepresentation
bin11101100110011…
…11101100101001
3122022020200200110
432303033230221
51002032032130
640350124533
76103432314
oct1663175451
9568220613
10248314665
11118192535
126b1b0749
133c5a2571
1424d9b97b
1516beeab0
hexeccfb29

248314665 has 32 divisors (see below), whose sum is σ = 425053440. Its totient is φ = 123346944.

The previous prime is 248314621. The next prime is 248314687. The reversal of 248314665 is 566413842.

It is not a de Polignac number, because 248314665 - 215 = 248281897 is a prime.

It is a super-3 number, since 3×2483146653 (a number of 26 digits) contains 333 as substring.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 19716 + ... + 29754.

It is an arithmetic number, because the mean of its divisors is an integer number (13282920).

Almost surely, 2248314665 is an apocalyptic number.

It is an amenable number.

248314665 is a deficient number, since it is larger than the sum of its proper divisors (176738775).

248314665 is a wasteful number, since it uses less digits than its factorization.

248314665 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10161.

The product of its digits is 138240, while the sum is 39.

The square root of 248314665 is about 15758.0032047211. The cubic root of 248314665 is about 628.5417392879.

The spelling of 248314665 in words is "two hundred forty-eight million, three hundred fourteen thousand, six hundred sixty-five".

Divisors: 1 3 5 15 17 51 85 97 255 291 485 1455 1649 4947 8245 10039 24735 30117 50195 150585 170663 511989 853315 973783 2559945 2921349 4868915 14606745 16554311 49662933 82771555 248314665