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242825050 = 25213397941
BaseRepresentation
bin11100111100100…
…11011101011010
3121220220210100101
432132103131122
5444130400200
640032330014
76005656516
oct1636233532
9556823311
10242825050
11115083066
12693a390a
133b3cc980
142436d146
15164b826a
hexe79375a

242825050 has 48 divisors (see below), whose sum is σ = 488140632. Its totient is φ = 89337600.

The previous prime is 242825039. The next prime is 242825057. The reversal of 242825050 is 50528242.

242825050 is digitally balanced in base 3, 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 12 ways, for example, as 9865881 + 232959169 = 3141^2 + 15263^2 .

It is not an unprimeable number, because it can be changed into a prime (242825057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 257580 + ... + 258520.

Almost surely, 2242825050 is an apocalyptic number.

242825050 is an abundant number, since it is smaller than the sum of its proper divisors (245315582).

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

242825050 is a wasteful number, since it uses less digits than its factorization.

242825050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1363 (or 1358 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 28.

The square root of 242825050 is about 15582.8447338732. The cubic root of 242825050 is about 623.8753534862.

The spelling of 242825050 in words is "two hundred forty-two million, eight hundred twenty-five thousand, fifty".

Divisors: 1 2 5 10 13 25 26 50 65 130 325 397 650 794 941 1882 1985 3970 4705 5161 9410 9925 10322 12233 19850 23525 24466 25805 47050 51610 61165 122330 129025 258050 305825 373577 611650 747154 1867885 3735770 4856501 9339425 9713002 18678850 24282505 48565010 121412525 242825050