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541242 = 23413257
BaseRepresentation
bin10000100001000111010
31000111110000
42010020322
5114304432
615333430
74412652
oct2041072
91014400
10541242
1133a709
12221276
1315c480
14101362
15aa57c
hex8423a

541242 has 40 divisors (see below), whose sum is σ = 1311156. Its totient is φ = 165888.

The previous prime is 541237. The next prime is 541249. The reversal of 541242 is 242145.

It can be written as a sum of positive squares in 2 ways, for example, as 531441 + 9801 = 729^2 + 99^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (541249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1978 + ... + 2234.

2541242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 541242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (655578).

541242 is an abundant number, since it is smaller than the sum of its proper divisors (769914).

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

541242 is a wasteful number, since it uses less digits than its factorization.

541242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284 (or 275 counting only the distinct ones).

The product of its digits is 320, while the sum is 18.

The square root of 541242 is about 735.6915114367. The cubic root of 541242 is about 81.4949122999.

Adding to 541242 its reverse (242145), we get a palindrome (783387).

It can be divided in two parts, 54 and 1242, that added together give a 4-th power (1296 = 64).

The spelling of 541242 in words is "five hundred forty-one thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 81 117 162 234 257 351 514 702 771 1053 1542 2106 2313 3341 4626 6682 6939 10023 13878 20046 20817 30069 41634 60138 90207 180414 270621 541242