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268448 = 258389
BaseRepresentation
bin1000001100010100000
3111122020112
41001202200
532042243
65430452
72165435
oct1014240
9448215
10268448
11173764
1210b428
139525b
146db8c
1554818
hex418a0

268448 has 12 divisors (see below), whose sum is σ = 528570. Its totient is φ = 134208.

The previous prime is 268439. The next prime is 268459. The reversal of 268448 is 844862.

It can be written as a sum of positive squares in only one way, i.e., 183184 + 85264 = 428^2 + 292^2 .

It is a Harshad number since it is a multiple of its sum of digits (32), and also a Moran number because the ratio is a prime number: 8389 = 268448 / (2 + 6 + 8 + 4 + 4 + 8).

It is an unprimeable number.

268448 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4163 + ... + 4226.

2268448 is an apocalyptic number.

It is an amenable number.

268448 is a deficient number, since it is larger than the sum of its proper divisors (260122).

268448 is an equidigital number, since it uses as much as digits as its factorization.

268448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8399 (or 8391 counting only the distinct ones).

The product of its digits is 12288, while the sum is 32.

The square root of 268448 is about 518.1196772947. The cubic root of 268448 is about 64.5089625588.

The spelling of 268448 in words is "two hundred sixty-eight thousand, four hundred forty-eight".

Divisors: 1 2 4 8 16 32 8389 16778 33556 67112 134224 268448