Search a number
-
+
27418050 = 232521129191
BaseRepresentation
bin110100010010…
…1110111000010
31220120222111100
41220211313002
524004334200
62415355230
7452023002
oct150456702
956528440
1027418050
1114527650
129222b16
1358ac9ca
1438da002
152618d00
hex1a25dc2

27418050 has 144 divisors (see below), whose sum is σ = 83566080. Its totient is φ = 6384000.

The previous prime is 27418049. The next prime is 27418051. The reversal of 27418050 is 5081472.

It is an interprime number because it is at equal distance from previous prime (27418049) and next prime (27418051).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27418051) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 143455 + ... + 143645.

It is an arithmetic number, because the mean of its divisors is an integer number (580320).

Almost surely, 227418050 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27418050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41783040).

27418050 is an abundant number, since it is smaller than the sum of its proper divisors (56148030).

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

27418050 is a wasteful number, since it uses less digits than its factorization.

27418050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 27418050 is about 5236.2247850909. The cubic root of 27418050 is about 301.5404102498.

The spelling of 27418050 in words is "twenty-seven million, four hundred eighteen thousand, fifty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 25 29 30 33 45 50 55 58 66 75 87 90 99 110 145 150 165 174 191 198 225 261 275 290 319 330 382 435 450 495 522 550 573 638 725 825 870 955 957 990 1146 1305 1450 1595 1650 1719 1910 1914 2101 2175 2475 2610 2865 2871 3190 3438 4202 4350 4775 4785 4950 5539 5730 5742 6303 6525 7975 8595 9550 9570 10505 11078 12606 13050 14325 14355 15950 16617 17190 18909 21010 23925 27695 28650 28710 31515 33234 37818 42975 47850 49851 52525 55390 60929 63030 71775 83085 85950 94545 99702 105050 121858 138475 143550 157575 166170 182787 189090 249255 276950 304645 315150 365574 415425 472725 498510 548361 609290 830850 913935 945450 1096722 1246275 1523225 1827870 2492550 2741805 3046450 4569675 5483610 9139350 13709025 27418050