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550005352 = 2313171132753
BaseRepresentation
bin100000110010000…
…110101001101000
31102022221011111121
4200302012221220
52111300132402
6130324305024
716425653101
oct4062065150
91368834447
10550005352
11262511186
12134242174
1389c42a70
14530913a8
1533444837
hex20c86a68

550005352 has 64 divisors (see below), whose sum is σ = 1186753680. Its totient is φ = 236716032.

The previous prime is 550005349. The next prime is 550005353. The reversal of 550005352 is 253500055.

It can be written as a sum of positive squares in 8 ways, for example, as 212401476 + 337603876 = 14574^2 + 18374^2 .

It is not an unprimeable number, because it can be changed into a prime (550005353) 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, 198408 + ... + 201160.

Almost surely, 2550005352 is an apocalyptic number.

550005352 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 550005352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (593376840).

550005352 is an abundant number, since it is smaller than the sum of its proper divisors (636748328).

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

550005352 is a wasteful number, since it uses less digits than its factorization.

550005352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2902 (or 2898 counting only the distinct ones).

The product of its (nonzero) digits is 3750, while the sum is 25.

The square root of 550005352 is about 23452.1929038630. The cubic root of 550005352 is about 819.3239281723.

The spelling of 550005352 in words is "five hundred fifty million, five thousand, three hundred fifty-two".

Divisors: 1 2 4 8 13 17 26 34 52 68 104 113 136 221 226 442 452 884 904 1469 1768 1921 2753 2938 3842 5506 5876 7684 11012 11752 15368 22024 24973 35789 46801 49946 71578 93602 99892 143156 187204 199784 286312 311089 374408 608413 622178 1216826 1244356 2433652 2488712 4044157 4867304 5288513 8088314 10577026 16176628 21154052 32353256 42308104 68750669 137501338 275002676 550005352