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268388257 is a prime number
BaseRepresentation
bin11111111111101…
…00011110100001
3200201000112110211
433333310132201
51022201411012
642344254121
76436156024
oct1777643641
9621015424
10268388257
11128553085
1275a71341
13437b0327
14279051bb
15188676a7
hexfff47a1

268388257 has 2 divisors, whose sum is σ = 268388258. Its totient is φ = 268388256.

The previous prime is 268388251. The next prime is 268388261. The reversal of 268388257 is 752883862.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 162792081 + 105596176 = 12759^2 + 10276^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-268388257 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 268388257.

It is not a weakly prime, because it can be changed into another prime (268388251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 134194128 + 134194129.

It is an arithmetic number, because the mean of its divisors is an integer number (134194129).

Almost surely, 2268388257 is an apocalyptic number.

It is an amenable number.

268388257 is a deficient number, since it is larger than the sum of its proper divisors (1).

268388257 is an equidigital number, since it uses as much as digits as its factorization.

268388257 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1290240, while the sum is 49.

The square root of 268388257 is about 16382.5595375082. The cubic root of 268388257 is about 645.0417672210.

The spelling of 268388257 in words is "two hundred sixty-eight million, three hundred eighty-eight thousand, two hundred fifty-seven".