Search a number
-
+
542244240 = 243351714767
BaseRepresentation
bin100000010100011…
…111110110010000
31101210022212021000
4200110133312100
52102303303430
6125450102000
716302666666
oct4024376620
91353285230
10542244240
112590a013a
1213171a900
13884562a5
1452030c36
153290ee60
hex2051fd90

542244240 has 160 divisors (see below), whose sum is σ = 1977730560. Its totient is φ = 136083456.

The previous prime is 542244203. The next prime is 542244247. The reversal of 542244240 is 42442245.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (542244247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29337 + ... + 44103.

It is an arithmetic number, because the mean of its divisors is an integer number (12360816).

Almost surely, 2542244240 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 542244240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (988865280).

542244240 is an abundant number, since it is smaller than the sum of its proper divisors (1435486320).

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

542244240 is a wasteful number, since it uses less digits than its factorization.

542244240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14806 (or 14794 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 27.

The square root of 542244240 is about 23286.1383659893. The cubic root of 542244240 is about 815.4518377272.

Adding to 542244240 its reverse (42442245), we get a palindrome (584686485).

The spelling of 542244240 in words is "five hundred forty-two million, two hundred forty-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 27 30 34 36 40 45 48 51 54 60 68 72 80 85 90 102 108 120 135 136 144 153 170 180 204 216 240 255 270 272 306 340 360 408 432 459 510 540 612 680 720 765 816 918 1020 1080 1224 1360 1530 1836 2040 2160 2295 2448 3060 3672 4080 4590 6120 7344 9180 12240 14767 18360 29534 36720 44301 59068 73835 88602 118136 132903 147670 177204 221505 236272 251039 265806 295340 354408 398709 443010 502078 531612 590680 664515 708816 753117 797418 886020 1004156 1063224 1181360 1255195 1329030 1506234 1594836 1772040 1993545 2008312 2126448 2259351 2510390 2658060 3012468 3189672 3544080 3765585 3987090 4016624 4518702 5020780 5316120 6024936 6379344 6778053 7531170 7974180 9037404 10041560 10632240 11296755 12049872 13556106 15062340 15948360 18074808 20083120 22593510 27112212 30124680 31896720 33890265 36149616 45187020 54224424 60249360 67780530 90374040 108448848 135561060 180748080 271122120 542244240