Search a number
-
+
54244112 = 24132511039
BaseRepresentation
bin1100111011101…
…1001100010000
310210001212221012
43032323030100
5102341302422
65214350052
71226032046
oct316731420
9123055835
1054244112
112868a44a
12161bb328
13b313110
1472c0396
154b674e2
hex33bb310

54244112 has 40 divisors (see below), whose sum is σ = 113742720. Its totient is φ = 24912000.

The previous prime is 54244111. The next prime is 54244117. The reversal of 54244112 is 21144245.

54244112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×542441123 (a number of 24 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (54244111) 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 7 ways as a sum of consecutive naturals, for example, 51689 + ... + 52727.

It is an arithmetic number, because the mean of its divisors is an integer number (2843568).

Almost surely, 254244112 is an apocalyptic number.

54244112 is a gapful number since it is divisible by the number (52) 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 54244112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56871360).

54244112 is an abundant number, since it is smaller than the sum of its proper divisors (59498608).

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

54244112 is a wasteful number, since it uses less digits than its factorization.

54244112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1311 (or 1305 counting only the distinct ones).

The product of its digits is 1280, while the sum is 23.

The square root of 54244112 is about 7365.0602169976. The cubic root of 54244112 is about 378.5450178459.

Adding to 54244112 its reverse (21144245), we get a palindrome (75388357).

The spelling of 54244112 in words is "fifty-four million, two hundred forty-four thousand, one hundred twelve".

Divisors: 1 2 4 8 13 16 26 52 104 208 251 502 1004 1039 2008 2078 3263 4016 4156 6526 8312 13052 13507 16624 26104 27014 52208 54028 108056 216112 260789 521578 1043156 2086312 3390257 4172624 6780514 13561028 27122056 54244112