Base | Representation |
---|---|
bin | 100000111110011… |
… | …110101001010000 |
3 | 1102120000222110001 |
4 | 200332132221100 |
5 | 2113112434420 |
6 | 130522015344 |
7 | 16465353616 |
oct | 4076365120 |
9 | 1376028401 |
10 | 553249360 |
11 | 264327484 |
12 | 135347554 |
13 | 8a80a4b1 |
14 | 536976b6 |
15 | 33885b0a |
hex | 20f9ea50 |
553249360 has 120 divisors (see below), whose sum is σ = 1425611880. Its totient is φ = 198967296.
The previous prime is 553249357. The next prime is 553249399. The reversal of 553249360 is 63942355.
553249360 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 4 ways, for example, as 89794576 + 463454784 = 9476^2 + 21528^2 .
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 719056 + ... + 719824.
It is an arithmetic number, because the mean of its divisors is an integer number (11880099).
Almost surely, 2553249360 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 553249360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (712805940).
553249360 is an abundant number, since it is smaller than the sum of its proper divisors (872362520).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
553249360 is a wasteful number, since it uses less digits than its factorization.
553249360 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 845 (or 816 counting only the distinct ones).
The product of its (nonzero) digits is 97200, while the sum is 37.
The square root of 553249360 is about 23521.2533679649. The cubic root of 553249360 is about 820.9316003414.
The spelling of 553249360 in words is "five hundred fifty-three million, two hundred forty-nine thousand, three hundred sixty".
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