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268803248 = 24717313873
BaseRepresentation
bin10000000001011…
…001110010110000
3200201210121201212
4100001121302300
51022303200443
642401215252
76442534640
oct2001316260
9621717655
10268803248
1112880694a
1276031528
13438c719c
14279b2520
15188ea618
hex10059cb0

268803248 has 40 divisors (see below), whose sum is σ = 598690848. Its totient is φ = 114527232.

The previous prime is 268803221. The next prime is 268803253. The reversal of 268803248 is 842308862.

It is a super-2 number, since 2×2688032482 = 144510372270699008, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12440 + ... + 26312.

Almost surely, 2268803248 is an apocalyptic number.

268803248 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 268803248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299345424).

268803248 is an abundant number, since it is smaller than the sum of its proper divisors (329887600).

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

268803248 is a wasteful number, since it uses less digits than its factorization.

268803248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14061 (or 14055 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 41.

The square root of 268803248 is about 16395.2202790935. The cubic root of 268803248 is about 645.3740578122.

The spelling of 268803248 in words is "two hundred sixty-eight million, eight hundred three thousand, two hundred forty-eight".

Divisors: 1 2 4 7 8 14 16 28 56 112 173 346 692 1211 1384 2422 2768 4844 9688 13873 19376 27746 55492 97111 110984 194222 221968 388444 776888 1553776 2400029 4800058 9600116 16800203 19200232 33600406 38400464 67200812 134401624 268803248