Base | Representation |
---|---|
bin | 1101001001010… |
… | …1011011110000 |
3 | 10211202022011100 |
4 | 3102111123300 |
5 | 103103404112 |
6 | 5245444400 |
7 | 1236444165 |
oct | 322253360 |
9 | 124668140 |
10 | 55138032 |
11 | 29140024 |
12 | 16570700 |
13 | b566c71 |
14 | 747406c |
15 | 4c922dc |
hex | 34956f0 |
55138032 has 60 divisors (see below), whose sum is σ = 156512304. Its totient is φ = 18117120.
The previous prime is 55137991. The next prime is 55138033. The reversal of 55138032 is 23083155.
55138032 is a `hidden beast` number, since 551 + 3 + 80 + 32 = 666.
55138032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a junction number, because it is equal to n+sod(n) for n = 55137987 and 55138005.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (55138033) 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, 7528 + ... + 12920.
Almost surely, 255138032 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 55138032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78256152).
55138032 is an abundant number, since it is smaller than the sum of its proper divisors (101374272).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
55138032 is a wasteful number, since it uses less digits than its factorization.
55138032 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 5478 (or 5469 counting only the distinct ones).
The product of its (nonzero) digits is 3600, while the sum is 27.
The square root of 55138032 is about 7425.4987711264. The cubic root of 55138032 is about 380.6131191742.
It can be divided in two parts, 551 and 38032, that added together give a palindrome (38583).
The spelling of 55138032 in words is "fifty-five million, one hundred thirty-eight thousand, thirty-two".
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