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242757168 = 24315732213
BaseRepresentation
bin11100111100000…
…10111000110000
3121220210100020020
432132002320300
5444121212133
640031043440
76005254563
oct1636027060
9556710206
10242757168
11115037065
1269370580
133b3a7ac4
14243524da
15164a30b3
hexe782e30

242757168 has 40 divisors (see below), whose sum is σ = 631136688. Its totient is φ = 80401152.

The previous prime is 242757149. The next prime is 242757181. The reversal of 242757168 is 861757242.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 8571 + ... + 23642.

Almost surely, 2242757168 is an apocalyptic number.

It is an amenable number.

242757168 is an abundant number, since it is smaller than the sum of its proper divisors (388379520).

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

242757168 is a wasteful number, since it uses less digits than its factorization.

242757168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32381 (or 32375 counting only the distinct ones).

The product of its digits is 188160, while the sum is 42.

The square root of 242757168 is about 15580.6664812517. Note that the first 3 decimals coincide. The cubic root of 242757168 is about 623.8172130628.

It can be divided in two parts, 2427 and 57168, that added together give a palindrome (59595).

The spelling of 242757168 in words is "two hundred forty-two million, seven hundred fifty-seven thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 157 314 471 628 942 1256 1884 2512 3768 7536 32213 64426 96639 128852 193278 257704 386556 515408 773112 1546224 5057441 10114882 15172323 20229764 30344646 40459528 60689292 80919056 121378584 242757168