Search a number
-
+
242927352 = 23327147521
BaseRepresentation
bin11100111101011…
…00011011111000
3121221002222200100
432132230123320
5444142133402
640034435400
76006564003
oct1636543370
9557088610
10242927352
11115142a08
1269432b60
133b4373c5
142439853a
15164d871c
hexe7ac6f8

242927352 has 48 divisors (see below), whose sum is σ = 667208880. Its totient is φ = 79833600.

The previous prime is 242927351. The next prime is 242927417. The reversal of 242927352 is 253729242.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242927351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18649 + ... + 28872.

It is an arithmetic number, because the mean of its divisors is an integer number (13900185).

Almost surely, 2242927352 is an apocalyptic number.

It is an amenable number.

242927352 is an abundant number, since it is smaller than the sum of its proper divisors (424281528).

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

242927352 is a wasteful number, since it uses less digits than its factorization.

242927352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47604 (or 47597 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 242927352 is about 15586.1269082476. The cubic root of 242927352 is about 623.9629539151.

The spelling of 242927352 in words is "two hundred forty-two million, nine hundred twenty-seven thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 71 72 142 213 284 426 568 639 852 1278 1704 2556 5112 47521 95042 142563 190084 285126 380168 427689 570252 855378 1140504 1710756 3373991 3421512 6747982 10121973 13495964 20243946 26991928 30365919 40487892 60731838 80975784 121463676 242927352