Base | Representation |
---|---|
bin | 1101010000101… |
… | …1110101110000 |
3 | 10212122221110000 |
4 | 3110023311300 |
5 | 103214414044 |
6 | 5304110000 |
7 | 1243534152 |
oct | 324136560 |
9 | 125587400 |
10 | 55623024 |
11 | 29441446 |
12 | 16765300 |
13 | b6a6942 |
14 | 755cad2 |
15 | 4d3ad69 |
hex | 350bd70 |
55623024 has 100 divisors (see below), whose sum is σ = 162583344. Its totient is φ = 18358272.
The previous prime is 55622999. The next prime is 55623053. The reversal of 55623024 is 42032655.
55623024 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a Harshad number since it is a multiple of its sum of digits (27).
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 19 ways as a sum of consecutive naturals, for example, 216304 + ... + 216560.
Almost surely, 255623024 is an apocalyptic number.
55623024 is a gapful number since it is divisible by the number (54) 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 55623024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81291672).
55623024 is an abundant number, since it is smaller than the sum of its proper divisors (106960320).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
55623024 is a wasteful number, since it uses less digits than its factorization.
55623024 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 444 (or 429 counting only the distinct ones).
The product of its (nonzero) digits is 7200, while the sum is 27.
The square root of 55623024 is about 7458.0844725707. The cubic root of 55623024 is about 381.7258158764.
Adding to 55623024 its reverse (42032655), we get a palindrome (97655679).
The spelling of 55623024 in words is "fifty-five million, six hundred twenty-three thousand, twenty-four".
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