Base | Representation |
---|---|
bin | 1101010001101… |
… | …1111110000000 |
3 | 10212210022001211 |
4 | 3110123332000 |
5 | 103224022323 |
6 | 5305335504 |
7 | 1244230600 |
oct | 324337600 |
9 | 125708054 |
10 | 55689088 |
11 | 29487044 |
12 | 16797594 |
13 | b6caa30 |
14 | 7578c00 |
15 | 4d5070d |
hex | 351bf80 |
55689088 has 96 divisors (see below), whose sum is σ = 139187160. Its totient is φ = 21998592.
The previous prime is 55689071. The next prime is 55689089. The reversal of 55689088 is 88098655.
55689088 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a Smith number, since the sum of its digits (49) coincides with the sum of the digits of its prime factors.
It is a Harshad number since it is a multiple of its sum of digits (49).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (55689089) 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, 81195 + ... + 81877.
Almost surely, 255689088 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 55689088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69593580).
55689088 is an abundant number, since it is smaller than the sum of its proper divisors (83498072).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
55689088 is a wasteful number, since it uses less digits than its factorization.
55689088 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 724 (or 705 counting only the distinct ones).
The product of its (nonzero) digits is 691200, while the sum is 49.
The square root of 55689088 is about 7462.5121775445. The cubic root of 55689088 is about 381.8768825574.
The spelling of 55689088 in words is "fifty-five million, six hundred eighty-nine thousand, eighty-eight".
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