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268149441 = 3712769021
BaseRepresentation
bin11111111101110…
…10001011000001
3200200120101212210
433332322023001
51022121240231
642335212333
76434142540
oct1776721301
9620511783
10268149441
111283aa70a
12759770a9
1343728711
1427882157
151881ba46
hexffba2c1

268149441 has 8 divisors (see below), whose sum is σ = 408608704. Its totient is φ = 153228240.

The previous prime is 268149439. The next prime is 268149461. The reversal of 268149441 is 144941862.

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

It is not a de Polignac number, because 268149441 - 21 = 268149439 is a prime.

It is a super-2 number, since 2×2681494412 = 143808245417224962, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 268149441.

It is not an unprimeable number, because it can be changed into a prime (268149461) by changing a digit.

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, 6384490 + ... + 6384531.

It is an arithmetic number, because the mean of its divisors is an integer number (51076088).

Almost surely, 2268149441 is an apocalyptic number.

268149441 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

268149441 is a deficient number, since it is larger than the sum of its proper divisors (140459263).

268149441 is a wasteful number, since it uses less digits than its factorization.

268149441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12769031.

The product of its digits is 55296, while the sum is 39.

The square root of 268149441 is about 16375.2691886271. The cubic root of 268149441 is about 644.8503877497.

The spelling of 268149441 in words is "two hundred sixty-eight million, one hundred forty-nine thousand, four hundred forty-one".

Divisors: 1 3 7 21 12769021 38307063 89383147 268149441