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248064065 = 5234121193
BaseRepresentation
bin11101100100100…
…10100001000001
3122021202221220222
432302102201001
51002001022230
640340512425
76101336564
oct1662224101
9567687828
10248064065
11118031227
126b0ab715
133c515492
1424d344db
1516ba06e5
hexec92841

248064065 has 8 divisors (see below), whose sum is σ = 297818088. Its totient is φ = 198357120.

The previous prime is 248064031. The next prime is 248064071. The reversal of 248064065 is 560460842.

It can be written as a sum of positive squares in 4 ways, for example, as 2421136 + 245642929 = 1556^2 + 15673^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 248064065 - 212 = 248059969 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1109 + ... + 22301.

It is an arithmetic number, because the mean of its divisors is an integer number (37227261).

Almost surely, 2248064065 is an apocalyptic number.

It is an amenable number.

248064065 is a deficient number, since it is larger than the sum of its proper divisors (49754023).

248064065 is a wasteful number, since it uses less digits than its factorization.

248064065 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23539.

The product of its (nonzero) digits is 46080, while the sum is 35.

The square root of 248064065 is about 15750.0496824613. The cubic root of 248064065 is about 628.3302259687.

The spelling of 248064065 in words is "two hundred forty-eight million, sixty-four thousand, sixty-five".

Divisors: 1 5 2341 11705 21193 105965 49612813 248064065