Search a number
-
+
54306482200 = 235223611031879
BaseRepresentation
bin110010100100111010…
…110010100000011000
312012011201020010121121
4302210322302200120
51342204424412300
640540440215024
73631523324305
oct624472624030
9165151203547
1054306482200
1121038658953
12a63716a474
13517601b849
1428b26640ac
15162c9a981a
hexca4eb2818

54306482200 has 192 divisors, whose sum is σ = 135284198400. Its totient is φ = 20228313600.

The previous prime is 54306482173. The next prime is 54306482203. The reversal of 54306482200 is 228460345.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54306482203) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28900861 + ... + 28902739.

It is an arithmetic number, because the mean of its divisors is an integer number (704605200).

Almost surely, 254306482200 is an apocalyptic number.

54306482200 is a gapful number since it is divisible by the number (50) 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 54306482200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67642099200).

54306482200 is an abundant number, since it is smaller than the sum of its proper divisors (80977716200).

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

54306482200 is a wasteful number, since it uses less digits than its factorization.

54306482200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2082 (or 2073 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 34.

The spelling of 54306482200 in words is "fifty-four billion, three hundred six million, four hundred eighty-two thousand, two hundred".