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242517393 = 321712592
BaseRepresentation
bin11100111010010…
…00010110010001
3121220100011022200
432131020112101
5444041024033
640021553413
76003235536
oct1635102621
9556304280
10242517393
111149929a8
1269275869
133b322921
14242ccd8d
1516457013
hexe748591

242517393 has 18 divisors (see below), whose sum is σ = 371203794. Its totient is φ = 152046912.

The previous prime is 242517389. The next prime is 242517397. The reversal of 242517393 is 393715242.

It is an interprime number because it is at equal distance from previous prime (242517389) and next prime (242517397).

It can be written as a sum of positive squares in only one way, i.e., 228251664 + 14265729 = 15108^2 + 3777^2 .

It is not a de Polignac number, because 242517393 - 22 = 242517389 is a prime.

It is not an unprimeable number, because it can be changed into a prime (242517397) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 191998 + ... + 193256.

It is an arithmetic number, because the mean of its divisors is an integer number (20622433).

Almost surely, 2242517393 is an apocalyptic number.

It is an amenable number.

242517393 is a deficient number, since it is larger than the sum of its proper divisors (128686401).

242517393 is an equidigital number, since it uses as much as digits as its factorization.

242517393 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2541 (or 1279 counting only the distinct ones).

The product of its digits is 45360, while the sum is 36.

The square root of 242517393 is about 15572.9699479579. The cubic root of 242517393 is about 623.6117607767.

The spelling of 242517393 in words is "two hundred forty-two million, five hundred seventeen thousand, three hundred ninety-three".

Divisors: 1 3 9 17 51 153 1259 3777 11331 21403 64209 192627 1585081 4755243 14265729 26946377 80839131 242517393