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248805568 = 2611438219
BaseRepresentation
bin11101101010001…
…11100011000000
3122100011122002001
432311013203000
51002143234233
640404433344
76110545444
oct1665074300
9570148061
10248805568
11118498340
126b3a8854
133c714b3b
1425088824
1516c9a27d
hexed478c0

248805568 has 56 divisors (see below), whose sum is σ = 551200320. Its totient is φ = 110449920.

The previous prime is 248805539. The next prime is 248805607. The reversal of 248805568 is 865508842.

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, 26163 + ... + 34381.

Almost surely, 2248805568 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 248805568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275600160).

248805568 is an abundant number, since it is smaller than the sum of its proper divisors (302394752).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

248805568 is a wasteful number, since it uses less digits than its factorization.

248805568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8285 (or 8275 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 46.

The square root of 248805568 is about 15773.5718212458. The cubic root of 248805568 is about 628.9556629121.

The spelling of 248805568 in words is "two hundred forty-eight million, eight hundred five thousand, five hundred sixty-eight".

Divisors: 1 2 4 8 11 16 22 32 43 44 64 86 88 172 176 344 352 473 688 704 946 1376 1892 2752 3784 7568 8219 15136 16438 30272 32876 65752 90409 131504 180818 263008 353417 361636 526016 706834 723272 1413668 1446544 2827336 2893088 3887587 5654672 5786176 7775174 11309344 15550348 22618688 31100696 62201392 124402784 248805568