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268317505 = 570975689
BaseRepresentation
bin11111111111000…
…11001101000001
3200200212221102101
433333203031001
51022142130010
642342550401
76435442531
oct1777431501
9620787371
10268317505
11128504a05
1275a38401
1343787071
14278c74c1
151885173a
hexffe3341

268317505 has 8 divisors (see below), whose sum is σ = 322439400. Its totient is φ = 214348416.

The previous prime is 268317499. The next prime is 268317523. The reversal of 268317505 is 505713862.

It can be written as a sum of positive squares in 4 ways, for example, as 57138481 + 211179024 = 7559^2 + 14532^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 268317505 - 213 = 268309313 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 34300 + ... + 41389.

It is an arithmetic number, because the mean of its divisors is an integer number (40304925).

Almost surely, 2268317505 is an apocalyptic number.

It is an amenable number.

268317505 is a deficient number, since it is larger than the sum of its proper divisors (54121895).

268317505 is an equidigital number, since it uses as much as digits as its factorization.

268317505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76403.

The product of its (nonzero) digits is 50400, while the sum is 37.

The square root of 268317505 is about 16380.4000256404. The cubic root of 268317505 is about 644.9850806797.

The spelling of 268317505 in words is "two hundred sixty-eight million, three hundred seventeen thousand, five hundred five".

Divisors: 1 5 709 3545 75689 378445 53663501 268317505