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550730368 = 2717416173
BaseRepresentation
bin100000110100110…
…111101010000000
31102101022000001001
4200310313222000
52111441332433
6130352021344
716435062616
oct4064675200
91371260031
10550730368
11262966971
12134531854
138a137a76
14531dd6b6
153353957d
hex20d37a80

550730368 has 64 divisors (see below), whose sum is σ = 1190223720. Its totient is φ = 252805120.

The previous prime is 550730363. The next prime is 550730381. The reversal of 550730368 is 863037055.

It can be written as a sum of positive squares in 4 ways, for example, as 226442304 + 324288064 = 15048^2 + 18008^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (550730363) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 86130 + ... + 92302.

Almost surely, 2550730368 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 550730368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (595111860).

550730368 is an abundant number, since it is smaller than the sum of its proper divisors (639493352).

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

550730368 is a wasteful number, since it uses less digits than its factorization.

550730368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6245 (or 6233 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 37.

The square root of 550730368 is about 23467.6451311162. The cubic root of 550730368 is about 819.6837805099.

The spelling of 550730368 in words is "five hundred fifty million, seven hundred thirty thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 16 17 32 34 41 64 68 82 128 136 164 272 328 544 656 697 1088 1312 1394 2176 2624 2788 5248 5576 6173 11152 12346 22304 24692 44608 49384 89216 98768 104941 197536 209882 253093 395072 419764 506186 790144 839528 1012372 1679056 2024744 3358112 4049488 4302581 6716224 8098976 8605162 13432448 16197952 17210324 32395904 34420648 68841296 137682592 275365184 550730368