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242733513 = 311232411327
BaseRepresentation
bin11100111011111…
…01000111001001
3121220202010210010
432131331013021
5444114433023
640030342133
76005125611
oct1635750711
9556663703
10242733513
11115020310
126935a949
133b39a0c9
1424347a41
151649b093
hexe77d1c9

242733513 has 32 divisors (see below), whose sum is σ = 370225152. Its totient is φ = 140025600.

The previous prime is 242733511. The next prime is 242733529. The reversal of 242733513 is 315337242.

It is not a de Polignac number, because 242733513 - 21 = 242733511 is a prime.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is not an unprimeable number, because it can be changed into a prime (242733511) 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 31 ways as a sum of consecutive naturals, for example, 182256 + ... + 183582.

It is an arithmetic number, because the mean of its divisors is an integer number (11569536).

Almost surely, 2242733513 is an apocalyptic number.

242733513 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

242733513 is a deficient number, since it is larger than the sum of its proper divisors (127491639).

242733513 is a wasteful number, since it uses less digits than its factorization.

242733513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1605.

The product of its digits is 15120, while the sum is 30.

The square root of 242733513 is about 15579.9073488901. The cubic root of 242733513 is about 623.7969501863.

The spelling of 242733513 in words is "two hundred forty-two million, seven hundred thirty-three thousand, five hundred thirteen".

Divisors: 1 3 11 23 33 69 241 253 723 759 1327 2651 3981 5543 7953 14597 16629 30521 43791 60973 91563 182919 319807 335731 959421 1007193 3517877 7355561 10553631 22066683 80911171 242733513