Search a number
-
+
242462241 = 35732909
BaseRepresentation
bin11100111001110…
…10111000100001
3121220020100200000
432130322320201
5444032242431
640020450213
76002616000
oct1634727041
9556210600
10242462241
1111495551a
1269249969
133b3037a8
14242b6c37
15164459e6
hexe73ae21

242462241 has 48 divisors (see below), whose sum is σ = 423696000. Its totient is φ = 138502224.

The previous prime is 242462239. The next prime is 242462257. The reversal of 242462241 is 142264242.

It is not a de Polignac number, because 242462241 - 21 = 242462239 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (242462261) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 81895 + ... + 84803.

It is an arithmetic number, because the mean of its divisors is an integer number (8827000).

Almost surely, 2242462241 is an apocalyptic number.

242462241 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

242462241 is a deficient number, since it is larger than the sum of its proper divisors (181233759).

242462241 is an frugal number, since it uses more digits than its factorization.

242462241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2945 (or 2919 counting only the distinct ones).

The product of its digits is 6144, while the sum is 27.

The square root of 242462241 is about 15571.1990867756. The cubic root of 242462241 is about 623.5644843828.

The spelling of 242462241 in words is "two hundred forty-two million, four hundred sixty-two thousand, two hundred forty-one".

Divisors: 1 3 7 9 21 27 49 63 81 147 189 243 343 441 567 1029 1323 1701 2909 3087 3969 8727 9261 11907 20363 26181 27783 61089 78543 83349 142541 183267 235629 427623 549801 706887 997787 1282869 1649403 2993361 3848607 4948209 8980083 11545821 26940249 34637463 80820747 242462241