Base | Representation |
---|---|
bin | 1101001110001… |
… | …1101011100000 |
3 | 10212100120210120 |
4 | 3103203223200 |
5 | 103144133103 |
6 | 5300400240 |
7 | 1242250446 |
oct | 323435340 |
9 | 125316716 |
10 | 55458528 |
11 | 293398a4 |
12 | 166a6080 |
13 | b649ac8 |
14 | 7518b96 |
15 | 4d07253 |
hex | 34e3ae0 |
55458528 has 48 divisors (see below), whose sum is σ = 146966400. Its totient is φ = 18310016.
The previous prime is 55458517. The next prime is 55458541. The reversal of 55458528 is 82585455.
55458528 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (48).
It is a self number, because there is not a number n which added to its sum of digits gives 55458528.
It is a congruent number.
It is an unprimeable number.
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 7 ways as a sum of consecutive naturals, for example, 7573 + ... + 12971.
It is an arithmetic number, because the mean of its divisors is an integer number (3061800).
Almost surely, 255458528 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 55458528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73483200).
55458528 is an abundant number, since it is smaller than the sum of its proper divisors (91507872).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
55458528 is a wasteful number, since it uses less digits than its factorization.
55458528 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 5519 (or 5511 counting only the distinct ones).
The product of its digits is 320000, while the sum is 42.
The square root of 55458528 is about 7447.0482743165. The cubic root of 55458528 is about 381.3491470885.
The spelling of 55458528 in words is "fifty-five million, four hundred fifty-eight thousand, five hundred twenty-eight".
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