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244668768 = 25310723819
BaseRepresentation
bin11101001010101…
…01100101100000
3122001101110110020
432211111211200
51000113400033
640140033440
76030436011
oct1645254540
9561343406
10244668768
111161222a3
1269b32880
133b8c6c26
14246cd008
151672e6b3
hexe955960

244668768 has 48 divisors (see below), whose sum is σ = 648285120. Its totient is φ = 80790656.

The previous prime is 244668761. The next prime is 244668821. The reversal of 244668768 is 867866442.

It is a tau number, because it is divible by the number of its divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 244668768.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (244668761) by changing a digit.

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, 1638 + ... + 22181.

It is an arithmetic number, because the mean of its divisors is an integer number (13505940).

Almost surely, 2244668768 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 244668768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324142560).

244668768 is an abundant number, since it is smaller than the sum of its proper divisors (403616352).

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

244668768 is a wasteful number, since it uses less digits than its factorization.

244668768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23939 (or 23931 counting only the distinct ones).

The product of its digits is 3096576, while the sum is 51.

The square root of 244668768 is about 15641.8914457300. The cubic root of 244668768 is about 625.4503574338.

The spelling of 244668768 in words is "two hundred forty-four million, six hundred sixty-eight thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 107 214 321 428 642 856 1284 1712 2568 3424 5136 10272 23819 47638 71457 95276 142914 190552 285828 381104 571656 762208 1143312 2286624 2548633 5097266 7645899 10194532 15291798 20389064 30583596 40778128 61167192 81556256 122334384 244668768