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242968815 = 34529137151
BaseRepresentation
bin11100111101101…
…10100011101111
3121221012002120000
432132312203233
5444200000230
640035355343
76010125615
oct1636664357
9557162500
10242968815
11115171081
1269452b53
133b45023b
14243a96b5
15164e5b60
hexe7b68ef

242968815 has 80 divisors (see below), whose sum is σ = 456857280. Its totient is φ = 123379200.

The previous prime is 242968807. The next prime is 242968819. The reversal of 242968815 is 518869242.

It is not a de Polignac number, because 242968815 - 23 = 242968807 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242968819) 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 79 ways as a sum of consecutive naturals, for example, 1608990 + ... + 1609140.

It is an arithmetic number, because the mean of its divisors is an integer number (5710716).

Almost surely, 2242968815 is an apocalyptic number.

242968815 is a deficient number, since it is larger than the sum of its proper divisors (213888465).

242968815 is a wasteful number, since it uses less digits than its factorization.

242968815 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334 (or 325 counting only the distinct ones).

The product of its digits is 276480, while the sum is 45.

The square root of 242968815 is about 15587.4569766848. The cubic root of 242968815 is about 623.9984513645.

The spelling of 242968815 in words is "two hundred forty-two million, nine hundred sixty-eight thousand, eight hundred fifteen".

Divisors: 1 3 5 9 15 27 29 45 81 87 135 137 145 151 261 405 411 435 453 685 755 783 1233 1305 1359 2055 2265 2349 3699 3915 3973 4077 4379 6165 6795 11097 11745 11919 12231 13137 18495 19865 20385 20687 21895 35757 39411 55485 59595 61155 62061 65685 103435 107271 118233 178785 186183 197055 310305 321813 354699 536355 558549 591165 599923 930915 1609065 1675647 1773495 1799769 2792745 2999615 5399307 8378235 8998845 16197921 26996535 48593763 80989605 242968815