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248312065 = 5291712497
BaseRepresentation
bin11101100110011…
…11000100000001
3122022020120010011
432303033010001
51002031441230
640350104521
76103421611
oct1663170401
9568216104
10248312065
11118190591
126b1ab141
133c5a1321
1424d9aa41
1516bede2a
hexeccf101

248312065 has 8 divisors (see below), whose sum is σ = 308249640. Its totient is φ = 191799552.

The previous prime is 248312039. The next prime is 248312093. The reversal of 248312065 is 560213842.

It can be written as a sum of positive squares in 4 ways, for example, as 34245904 + 214066161 = 5852^2 + 14631^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 248312065 - 219 = 247787777 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 856104 + ... + 856393.

It is an arithmetic number, because the mean of its divisors is an integer number (38531205).

Almost surely, 2248312065 is an apocalyptic number.

It is an amenable number.

248312065 is a deficient number, since it is larger than the sum of its proper divisors (59937575).

248312065 is a wasteful number, since it uses less digits than its factorization.

248312065 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1712531.

The product of its (nonzero) digits is 11520, while the sum is 31.

The square root of 248312065 is about 15757.9207067430. The cubic root of 248312065 is about 628.5395455468.

It can be divided in two parts, 24831 and 2065, that added together give a square (26896 = 1642).

The spelling of 248312065 in words is "two hundred forty-eight million, three hundred twelve thousand, sixty-five".

Divisors: 1 5 29 145 1712497 8562485 49662413 248312065