Search a number
-
+
550034000 = 2453535189
BaseRepresentation
bin100000110010001…
…101101001010000
31102022222121210122
4200302031221100
52111302042000
6130325045412
716426132445
oct4062155120
91368877718
10550034000
1126253075a
12134256868
1389c52b09
145309b9cc
153344d085
hex20c8da50

550034000 has 80 divisors (see below), whose sum is σ = 1355337360. Its totient is φ = 215820800.

The previous prime is 550033943. The next prime is 550034003. The reversal of 550034000 is 430055.

550034000 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 60031504 + 490002496 = 7748^2 + 22136^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 550034000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (550034003) 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 15 ways as a sum of consecutive naturals, for example, 103406 + ... + 108594.

It is an arithmetic number, because the mean of its divisors is an integer number (16941717).

Almost surely, 2550034000 is an apocalyptic number.

550034000 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 550034000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (677668680).

550034000 is an abundant number, since it is smaller than the sum of its proper divisors (805303360).

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

550034000 is a wasteful number, since it uses less digits than its factorization.

550034000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5265 (or 5249 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 17.

The square root of 550034000 is about 23452.8036703504. The cubic root of 550034000 is about 819.3381532365.

Adding to 550034000 its reverse (430055), we get a palindrome (550464055).

The spelling of 550034000 in words is "five hundred fifty million, thirty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 53 80 100 106 125 200 212 250 265 400 424 500 530 848 1000 1060 1325 2000 2120 2650 4240 5189 5300 6625 10378 10600 13250 20756 21200 25945 26500 41512 51890 53000 83024 103780 106000 129725 207560 259450 275017 415120 518900 550034 648625 1037800 1100068 1297250 1375085 2075600 2200136 2594500 2750170 4400272 5189000 5500340 6875425 10378000 11000680 13750850 22001360 27501700 34377125 55003400 68754250 110006800 137508500 275017000 550034000