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42481230 = 235112329193
BaseRepresentation
bin1010001000001…
…1011001001110
32221221021021220
42202003121032
541333344410
64114304210
71024040661
oct242033116
987837256
1042481230
1121a85860
1212288066
138a5502c
1458db6d8
153ae2070
hex288364e

42481230 has 128 divisors (see below), whose sum is σ = 120683520. Its totient is φ = 9461760.

The previous prime is 42481199. The next prime is 42481261. The reversal of 42481230 is 3218424.

It is an interprime number because it is at equal distance from previous prime (42481199) and next prime (42481261).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 42481230.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 220014 + ... + 220206.

It is an arithmetic number, because the mean of its divisors is an integer number (942840).

Almost surely, 242481230 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42481230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60341760).

42481230 is an abundant number, since it is smaller than the sum of its proper divisors (78202290).

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

42481230 is a wasteful number, since it uses less digits than its factorization.

42481230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266.

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 42481230 is about 6517.7626529354. The cubic root of 42481230 is about 348.9252199504.

Adding to 42481230 its reverse (3218424), we get a palindrome (45699654).

The spelling of 42481230 in words is "forty-two million, four hundred eighty-one thousand, two hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 23 29 30 33 46 55 58 66 69 87 110 115 138 145 165 174 193 230 253 290 319 330 345 386 435 506 579 638 667 690 759 870 957 965 1158 1265 1334 1518 1595 1914 1930 2001 2123 2530 2895 3190 3335 3795 4002 4246 4439 4785 5597 5790 6369 6670 7337 7590 8878 9570 10005 10615 11194 12738 13317 14674 16791 20010 21230 22011 22195 26634 27985 31845 33582 36685 44022 44390 48829 55970 61567 63690 66585 73370 83955 97658 110055 123134 128731 133170 146487 167910 184701 220110 244145 257462 292974 307835 369402 386193 488290 615670 643655 732435 772386 923505 1287310 1416041 1464870 1847010 1930965 2832082 3861930 4248123 7080205 8496246 14160410 21240615 42481230