Base | Representation |
---|---|
bin | 100000111110101… |
… | …110001101000000 |
3 | 1102120011012212100 |
4 | 200332232031000 |
5 | 2113122004323 |
6 | 130523230400 |
7 | 16466040456 |
oct | 4076561500 |
9 | 1376135770 |
10 | 553313088 |
11 | 264370349 |
12 | 135378400 |
13 | 8a8304c3 |
14 | 536b29d6 |
15 | 33899943 |
hex | 20fae340 |
553313088 has 84 divisors (see below), whose sum is σ = 1600195428. Its totient is φ = 182784000.
The previous prime is 553313083. The next prime is 553313099. The reversal of 553313088 is 880313355.
It can be written as a sum of positive squares in 2 ways, for example, as 24681024 + 528632064 = 4968^2 + 22992^2 .
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (553313083) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 60838 + ... + 69338.
Almost surely, 2553313088 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 553313088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (800097714).
553313088 is an abundant number, since it is smaller than the sum of its proper divisors (1046882340).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
553313088 is a wasteful number, since it uses less digits than its factorization.
553313088 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 8632 (or 8619 counting only the distinct ones).
The product of its (nonzero) digits is 43200, while the sum is 36.
The square root of 553313088 is about 23522.6080186700. The cubic root of 553313088 is about 820.9631197756.
The spelling of 553313088 in words is "five hundred fifty-three million, three hundred thirteen thousand, eighty-eight".
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