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242467512 = 233719372053
BaseRepresentation
bin11100111001111…
…00001010111000
3121220020121220020
432130330022320
5444032430022
640020530440
76002640240
oct1634741270
9556217806
10242467512
11114959481
1269250a20
133b306001
14242b8b20
151644735c
hexe73c2b8

242467512 has 128 divisors (see below), whose sum is σ = 749299200. Its totient is φ = 63825408.

The previous prime is 242467499. The next prime is 242467543. The reversal of 242467512 is 215764242.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 117078 + ... + 119130.

It is an arithmetic number, because the mean of its divisors is an integer number (5853900).

Almost surely, 2242467512 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242467512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374649600).

242467512 is an abundant number, since it is smaller than the sum of its proper divisors (506831688).

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

242467512 is a wasteful number, since it uses less digits than its factorization.

242467512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2125 (or 2121 counting only the distinct ones).

The product of its digits is 26880, while the sum is 33.

The square root of 242467512 is about 15571.3683406437. The cubic root of 242467512 is about 623.5690030034.

The spelling of 242467512 in words is "two hundred forty-two million, four hundred sixty-seven thousand, five hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 19 21 24 28 37 38 42 56 57 74 76 84 111 114 133 148 152 168 222 228 259 266 296 399 444 456 518 532 703 777 798 888 1036 1064 1406 1554 1596 2053 2072 2109 2812 3108 3192 4106 4218 4921 5624 6159 6216 8212 8436 9842 12318 14371 14763 16424 16872 19684 24636 28742 29526 39007 39368 43113 49272 57484 59052 75961 78014 86226 114968 117021 118104 151922 156028 172452 227883 234042 273049 303844 312056 344904 455766 468084 531727 546098 607688 819147 911532 936168 1063454 1092196 1443259 1595181 1638294 1823064 2126908 2184392 2886518 3190362 3276588 4253816 4329777 5773036 6380724 6553176 8659554 10102813 11546072 12761448 17319108 20205626 30308439 34638216 40411252 60616878 80822504 121233756 242467512