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605959242 = 237233112017
BaseRepresentation
bin100100000111100…
…011010001001010
31120020012220210220
4210013203101022
52220111143432
6140043450510
721005366010
oct4407432112
91506186726
10605959242
11291059169
1214ab26a36
1398704185
145a6988b0
15382e872c
hex241e344a

605959242 has 64 divisors (see below), whose sum is σ = 1450635264. Its totient is φ = 164989440.

The previous prime is 605959199. The next prime is 605959247. The reversal of 605959242 is 242959506.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 605959194 and 605959203.

It is not an unprimeable number, because it can be changed into a prime (605959247) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 299418 + ... + 301434.

It is an arithmetic number, because the mean of its divisors is an integer number (22666176).

Almost surely, 2605959242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 605959242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (725317632).

605959242 is an abundant number, since it is smaller than the sum of its proper divisors (844676022).

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

605959242 is a wasteful number, since it uses less digits than its factorization.

605959242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2363.

The product of its (nonzero) digits is 194400, while the sum is 42.

The square root of 605959242 is about 24616.2393959760. The cubic root of 605959242 is about 846.2158154814.

The spelling of 605959242 in words is "six hundred five million, nine hundred fifty-nine thousand, two hundred forty-two".

Divisors: 1 2 3 6 7 14 21 23 42 46 69 138 161 311 322 483 622 933 966 1866 2017 2177 4034 4354 6051 6531 7153 12102 13062 14119 14306 21459 28238 42357 42918 46391 50071 84714 92782 100142 139173 150213 278346 300426 324737 627287 649474 974211 1254574 1881861 1948422 3763722 4391009 8782018 13173027 14427601 26346054 28855202 43282803 86565606 100993207 201986414 302979621 605959242