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268496 = 2497173
BaseRepresentation
bin1000001100011010000
3111122022022
41001203100
532042441
65431012
72165534
oct1014320
9448268
10268496
111737a8
1210b468
1395297
146dbc4
155484b
hex418d0

268496 has 20 divisors (see below), whose sum is σ = 528612. Its totient is φ = 132096.

The previous prime is 268493. The next prime is 268501. The reversal of 268496 is 694862.

It can be written as a sum of positive squares in 2 ways, for example, as 190096 + 78400 = 436^2 + 280^2 .

It is a Smith number, since the sum of its digits (35) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 268496.

It is not an unprimeable number, because it can be changed into a prime (268493) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1466 + ... + 1638.

2268496 is an apocalyptic number.

It is an amenable number.

268496 is a deficient number, since it is larger than the sum of its proper divisors (260116).

268496 is a wasteful number, since it uses less digits than its factorization.

268496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278 (or 272 counting only the distinct ones).

The product of its digits is 20736, while the sum is 35.

The square root of 268496 is about 518.1659965687. The cubic root of 268496 is about 64.5128071838.

The spelling of 268496 in words is "two hundred sixty-eight thousand, four hundred ninety-six".

Divisors: 1 2 4 8 16 97 173 194 346 388 692 776 1384 1552 2768 16781 33562 67124 134248 268496