Search a number
-
+
268803648 = 2632466673
BaseRepresentation
bin10000000001011…
…001111001000000
3200201210122021200
4100001121321000
51022303204043
642401221200
76442536051
oct2001317100
9621718250
10268803648
11128807183
1276031800
13438c7419
14279b2728
15188ea7d3
hex10059e40

268803648 has 42 divisors (see below), whose sum is σ = 770478774. Its totient is φ = 89601024.

The previous prime is 268803641. The next prime is 268803649. The reversal of 268803648 is 846308862.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 257025024 + 11778624 = 16032^2 + 3432^2 .

It is not an unprimeable number, because it can be changed into a prime (268803641) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 232761 + ... + 233912.

Almost surely, 2268803648 is an apocalyptic number.

It is an amenable number.

268803648 is an abundant number, since it is smaller than the sum of its proper divisors (501675126).

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

268803648 is a wasteful number, since it uses less digits than its factorization.

268803648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 466691 (or 466678 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The square root of 268803648 is about 16395.2324777662. The cubic root of 268803648 is about 645.3743779342.

The spelling of 268803648 in words is "two hundred sixty-eight million, eight hundred three thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 466673 933346 1400019 1866692 2800038 3733384 4200057 5600076 7466768 8400114 11200152 14933536 16800228 22400304 29867072 33600456 44800608 67200912 89601216 134401824 268803648