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242801874 = 23471959191
BaseRepresentation
bin11100111100011…
…01110011010010
3121220212121120000
432132031303102
5444124124444
640032030430
76005532120
oct1636156322
9556777500
10242801874
11115067707
1269392416
133b3c2263
1424364910
15164b1469
hexe78dcd2

242801874 has 160 divisors (see below), whose sum is σ = 669081600. Its totient is φ = 64268640.

The previous prime is 242801873. The next prime is 242801887. The reversal of 242801874 is 478108242.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (242801873) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1271119 + ... + 1271309.

It is an arithmetic number, because the mean of its divisors is an integer number (4181760).

Almost surely, 2242801874 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242801874, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334540800).

242801874 is an abundant number, since it is smaller than the sum of its proper divisors (426279726).

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

242801874 is a wasteful number, since it uses less digits than its factorization.

242801874 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The square root of 242801874 is about 15582.1010778393. The cubic root of 242801874 is about 623.8555046345.

The spelling of 242801874 in words is "two hundred forty-two million, eight hundred one thousand, eight hundred seventy-four".

Divisors: 1 2 3 6 7 9 14 18 19 21 27 38 42 54 57 59 63 81 114 118 126 133 162 171 177 189 191 266 342 354 378 382 399 413 513 531 567 573 798 826 1026 1062 1121 1134 1146 1197 1239 1337 1539 1593 1719 2242 2394 2478 2674 3078 3186 3363 3438 3591 3629 3717 4011 4779 5157 6726 7182 7258 7434 7847 8022 9558 10089 10314 10773 10887 11151 11269 12033 15471 15694 20178 21546 21774 22302 22538 23541 24066 25403 30267 30942 32661 33453 33807 36099 47082 50806 60534 65322 66906 67614 70623 72198 76209 78883 90801 97983 101421 108297 141246 152418 157766 181602 195966 202842 211869 214111 216594 228627 236649 293949 304263 423738 428222 457254 473298 587898 608526 635607 642333 685881 709947 912789 1271214 1284666 1371762 1419894 1498777 1825578 1926999 2057643 2129841 2997554 3853998 4115286 4259682 4496331 5780997 6389523 8992662 11561994 12779046 13488993 17342991 26977986 34685982 40466979 80933958 121400937 242801874