Base | Representation |
---|---|
bin | 1101001001010… |
… | …0010010000000 |
3 | 10211202001200112 |
4 | 3102110102000 |
5 | 103103231222 |
6 | 5245410452 |
7 | 1236424343 |
oct | 322242200 |
9 | 124661615 |
10 | 55133312 |
11 | 29137523 |
12 | 16569a28 |
13 | b564a80 |
14 | 747245a |
15 | 4c90be2 |
hex | 3494480 |
55133312 has 64 divisors (see below), whose sum is σ = 125307000. Its totient is φ = 23937024.
The previous prime is 55133311. The next prime is 55133333. The reversal of 55133312 is 21333155.
It can be written as a sum of positive squares in 4 ways, for example, as 51036736 + 4096576 = 7144^2 + 2024^2 .
It is a tau number, because it is divible by the number of its divisors (64).
It is not an unprimeable number, because it can be changed into a prime (55133311) 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, 27314 + ... + 29262.
Almost surely, 255133312 is an apocalyptic number.
55133312 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 55133312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62653500).
55133312 is an abundant number, since it is smaller than the sum of its proper divisors (70173688).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
55133312 is a wasteful number, since it uses less digits than its factorization.
55133312 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1993 (or 1981 counting only the distinct ones).
The product of its digits is 1350, while the sum is 23.
The square root of 55133312 is about 7425.1809405563. The cubic root of 55133312 is about 380.6022582789.
Adding to 55133312 its reverse (21333155), we get a palindrome (76466467).
The spelling of 55133312 in words is "fifty-five million, one hundred thirty-three thousand, three hundred twelve".
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