Search a number
-
+
54318112 = 2519412179
BaseRepresentation
bin1100111100110…
…1010000100000
310210012122102221
43033031100200
5102401134422
65220120424
71226460562
oct317152040
9123178387
1054318112
1128730002
1216236114
13b33a9c4
1472dd332
154b7e3c7
hex33cd420

54318112 has 48 divisors (see below), whose sum is σ = 115365600. Its totient is φ = 25090560.

The previous prime is 54318101. The next prime is 54318119. The reversal of 54318112 is 21181345.

It is not an unprimeable number, because it can be changed into a prime (54318119) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 23839 + ... + 26017.

It is an arithmetic number, because the mean of its divisors is an integer number (2403450).

Almost surely, 254318112 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 54318112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57682800).

54318112 is an abundant number, since it is smaller than the sum of its proper divisors (61047488).

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

54318112 is a wasteful number, since it uses less digits than its factorization.

54318112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2249 (or 2241 counting only the distinct ones).

The product of its digits is 960, while the sum is 25.

The square root of 54318112 is about 7370.0822247788. The cubic root of 54318112 is about 378.7170770905.

Adding to 54318112 its reverse (21181345), we get a palindrome (75499457).

The spelling of 54318112 in words is "fifty-four million, three hundred eighteen thousand, one hundred twelve".

Divisors: 1 2 4 8 16 19 32 38 41 76 82 152 164 304 328 608 656 779 1312 1558 2179 3116 4358 6232 8716 12464 17432 24928 34864 41401 69728 82802 89339 165604 178678 331208 357356 662416 714712 1324832 1429424 1697441 2858848 3394882 6789764 13579528 27159056 54318112