Search a number
-
+
24048220 = 2257253463
BaseRepresentation
bin101101110111…
…1001001011100
31200020202221211
41123233021130
522124020340
62215234204
7411256300
oct133571134
950222854
1024048220
1112635869
128078964
134c9cc21
14329dd00
1521a05ea
hex16ef25c

24048220 has 72 divisors (see below), whose sum is σ = 59984064. Its totient is φ = 8072064.

The previous prime is 24048191. The next prime is 24048229. The reversal of 24048220 is 2284042.

It is a junction number, because it is equal to n+sod(n) for n = 24048191 and 24048200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (24048229) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51709 + ... + 52171.

It is an arithmetic number, because the mean of its divisors is an integer number (833112).

Almost surely, 224048220 is an apocalyptic number.

24048220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 24048220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29992032).

24048220 is an abundant number, since it is smaller than the sum of its proper divisors (35935844).

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

24048220 is a wasteful number, since it uses less digits than its factorization.

24048220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 539 (or 530 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 22.

The square root of 24048220 is about 4903.8984491933. The cubic root of 24048220 is about 288.6429661453.

The spelling of 24048220 in words is "twenty-four million, forty-eight thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 53 70 98 106 140 196 212 245 265 371 463 490 530 742 926 980 1060 1484 1852 1855 2315 2597 3241 3710 4630 5194 6482 7420 9260 10388 12964 12985 16205 22687 24539 25970 32410 45374 49078 51940 64820 90748 98156 113435 122695 171773 226870 245390 343546 453740 490780 687092 858865 1202411 1717730 2404822 3435460 4809644 6012055 12024110 24048220