Base | Representation |
---|---|
bin | 1101001101110… |
… | …1111011111000 |
3 | 10212022101112011 |
4 | 3103131323320 |
5 | 103142410000 |
6 | 5300055304 |
7 | 1242122035 |
oct | 323357370 |
9 | 125271464 |
10 | 55435000 |
11 | 29323155 |
12 | 16694534 |
13 | b63c19a |
14 | 751038c |
15 | 4d002ba |
hex | 34ddef8 |
55435000 has 40 divisors (see below), whose sum is σ = 129895920. Its totient is φ = 22172000.
The previous prime is 55434997. The next prime is 55435001. The reversal of 55435000 is 53455.
It is a happy number.
It is a tau number, because it is divible by the number of its divisors (40).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (55435001) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 544 + ... + 10543.
It is an arithmetic number, because the mean of its divisors is an integer number (3247398).
Almost surely, 255435000 is an apocalyptic number.
55435000 is a gapful number since it is divisible by the number (50) 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 55435000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64947960).
55435000 is an abundant number, since it is smaller than the sum of its proper divisors (74460920).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
55435000 is a wasteful number, since it uses less digits than its factorization.
55435000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 11113 (or 11094 counting only the distinct ones).
The product of its (nonzero) digits is 1500, while the sum is 22.
The square root of 55435000 is about 7445.4684204555. The cubic root of 55435000 is about 381.2952109781.
Adding to 55435000 its reverse (53455), we get a palindrome (55488455).
The spelling of 55435000 in words is "fifty-five million, four hundred thirty-five thousand".
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