Search a number
-
+
242465288 = 231317294729
BaseRepresentation
bin11100111001110…
…11101000001000
3121220020111211212
432130323220020
5444032342123
640020512252
76002630612
oct1634735010
9556214755
10242465288
1111495783a
126924b688
133b304cb0
14242b7db2
1516446878
hexe73ba08

242465288 has 64 divisors (see below), whose sum is σ = 536382000. Its totient is φ = 101670912.

The previous prime is 242465269. The next prime is 242465297. The reversal of 242465288 is 882564242.

242465288 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 42016324 + 200448964 = 6482^2 + 14158^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48908 + ... + 53636.

Almost surely, 2242465288 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 242465288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268191000).

242465288 is an abundant number, since it is smaller than the sum of its proper divisors (293916712).

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

242465288 is a wasteful number, since it uses less digits than its factorization.

242465288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4794 (or 4790 counting only the distinct ones).

The product of its digits is 245760, while the sum is 41.

The square root of 242465288 is about 15571.2969273596. The cubic root of 242465288 is about 623.5670964638.

The spelling of 242465288 in words is "two hundred forty-two million, four hundred sixty-five thousand, two hundred eighty-eight".

Divisors: 1 2 4 8 13 17 26 29 34 52 58 68 104 116 136 221 232 377 442 493 754 884 986 1508 1768 1972 3016 3944 4729 6409 9458 12818 18916 25636 37832 51272 61477 80393 122954 137141 160786 245908 274282 321572 491816 548564 643144 1045109 1097128 1782833 2090218 2331397 3565666 4180436 4662794 7131332 8360872 9325588 14262664 18651176 30308161 60616322 121232644 242465288