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552131712 = 273211217233
BaseRepresentation
bin100000111010001…
…101110010000000
31102110221012022200
4200322031302000
52112321203322
6130442033200
716453020306
oct4072156200
91373835280
10552131712
11263733800
12134aa8800
138a508872
1453486276
15337148ac
hex20e8dc80

552131712 has 288 divisors, whose sum is σ = 1857049740. Its totient is φ = 156794880.

The previous prime is 552131689. The next prime is 552131719. The reversal of 552131712 is 217131255.

It can be written as a sum of positive squares in 2 ways, for example, as 552062016 + 69696 = 23496^2 + 264^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (552131719) 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 35 ways as a sum of consecutive naturals, for example, 2369548 + ... + 2369780.

Almost surely, 2552131712 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 552131712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (928524870).

552131712 is an abundant number, since it is smaller than the sum of its proper divisors (1304918028).

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

552131712 is a wasteful number, since it uses less digits than its factorization.

552131712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292 (or 266 counting only the distinct ones).

The product of its digits is 2100, while the sum is 27.

The square root of 552131712 is about 23497.4830992598. The cubic root of 552131712 is about 820.3784253716.

Adding to 552131712 its reverse (217131255), we get a palindrome (769262967).

The spelling of 552131712 in words is "five hundred fifty-two million, one hundred thirty-one thousand, seven hundred twelve".