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242709819 = 311193112487
BaseRepresentation
bin11100111011101…
…11010100111011
3121220200221021120
432131313110323
5444113203234
640030040323
76004666542
oct1635672473
9556627246
10242709819
11115004530
12693490a3
133b38c3a1
142433d159
1516494049
hexe77753b

242709819 has 32 divisors (see below), whose sum is σ = 383631360. Its totient is φ = 134848800.

The previous prime is 242709769. The next prime is 242709821. The reversal of 242709819 is 918907242.

242709819 = 3252 + 3262 + ... + 9132.

It is not a de Polignac number, because 242709819 - 215 = 242677051 is a prime.

It is a super-2 number, since 2×2427098192 = 117816112478025522, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (242709619) 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 in 31 ways as a sum of consecutive naturals, for example, 13194 + ... + 25680.

It is an arithmetic number, because the mean of its divisors is an integer number (11988480).

Almost surely, 2242709819 is an apocalyptic number.

242709819 is a deficient number, since it is larger than the sum of its proper divisors (140921541).

242709819 is a wasteful number, since it uses less digits than its factorization.

242709819 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12551.

The product of its (nonzero) digits is 72576, while the sum is 42.

The square root of 242709819 is about 15579.1469278648. The cubic root of 242709819 is about 623.7766525827.

The spelling of 242709819 in words is "two hundred forty-two million, seven hundred nine thousand, eight hundred nineteen".

Divisors: 1 3 11 19 31 33 57 93 209 341 589 627 1023 1767 6479 12487 19437 37461 137357 237253 387097 412071 711759 1161291 2609783 4258067 7354843 7829349 12774201 22064529 80903273 242709819