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242117616 = 24313388009
BaseRepresentation
bin11100110111001…
…10101111110000
3121212120211221010
432123212233300
5443440230431
640005230520
75666652156
oct1633465760
9555524833
10242117616
1111473a604
1269102440
133b212980
14242273d6
15163c8846
hexe6e6bf0

242117616 has 40 divisors (see below), whose sum is σ = 673585360. Its totient is φ = 74497536.

The previous prime is 242117609. The next prime is 242117761. The reversal of 242117616 is 616711242.

It is a congruent number.

It is an unprimeable number.

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, 193381 + ... + 194628.

It is an arithmetic number, because the mean of its divisors is an integer number (16839634).

Almost surely, 2242117616 is an apocalyptic number.

242117616 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

242117616 is an abundant number, since it is smaller than the sum of its proper divisors (431467744).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

242117616 is a wasteful number, since it uses less digits than its factorization.

242117616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388033 (or 388027 counting only the distinct ones).

The product of its digits is 4032, while the sum is 30.

The square root of 242117616 is about 15560.1290483081. The cubic root of 242117616 is about 623.2689087302.

Adding to 242117616 its reverse (616711242), we get a palindrome (858828858).

The spelling of 242117616 in words is "two hundred forty-two million, one hundred seventeen thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 312 624 388009 776018 1164027 1552036 2328054 3104072 4656108 5044117 6208144 9312216 10088234 15132351 18624432 20176468 30264702 40352936 60529404 80705872 121058808 242117616