Search a number
-
+
544830000 = 243541113127
BaseRepresentation
bin100000011110010…
…111001000110000
31101222012020020220
4200132113020300
52103434030000
6130021333040
716333656441
oct4036271060
91358166226
10544830000
1125a5a6930
12132567180
1388b50220
14525052c8
1532c711a0
hex20797230

544830000 has 400 divisors, whose sum is σ = 2082533376. Its totient is φ = 120960000.

The previous prime is 544829963. The next prime is 544830007. The reversal of 544830000 is 38445.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (544830007) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4289937 + ... + 4290063.

Almost surely, 2544830000 is an apocalyptic number.

544830000 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 544830000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1041266688).

544830000 is an abundant number, since it is smaller than the sum of its proper divisors (1537703376).

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

544830000 is a wasteful number, since it uses less digits than its factorization.

544830000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 544830000 is about 23341.5937759186. The cubic root of 544830000 is about 816.7459777664.

Adding to 544830000 its reverse (38445), we get a palindrome (544868445).

The spelling of 544830000 in words is "five hundred forty-four million, eight hundred thirty thousand".