Base | Representation |
---|---|
bin | 1100111101010… |
… | …1010100000000 |
3 | 10210021022200212 |
4 | 3033111110000 |
5 | 102403213404 |
6 | 5220533252 |
7 | 1226656013 |
oct | 317252400 |
9 | 123238625 |
10 | 54351104 |
11 | 28752875 |
12 | 16251228 |
13 | b34ca22 |
14 | 730b37a |
15 | 4b8906e |
hex | 33d5500 |
54351104 has 36 divisors (see below), whose sum is σ = 112246260. Its totient is φ = 26234880.
The previous prime is 54351083. The next prime is 54351109. The reversal of 54351104 is 40115345.
It can be written as a sum of positive squares in 2 ways, for example, as 8761600 + 45589504 = 2960^2 + 6752^2 .
It is a self number, because there is not a number n which added to its sum of digits gives 54351104.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (54351109) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3764 + ... + 11084.
Almost surely, 254351104 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 54351104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56123130).
54351104 is an abundant number, since it is smaller than the sum of its proper divisors (57895156).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
54351104 is an equidigital number, since it uses as much as digits as its factorization.
54351104 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 7366 (or 7352 counting only the distinct ones).
The product of its (nonzero) digits is 1200, while the sum is 23.
The square root of 54351104 is about 7372.3201232719. The cubic root of 54351104 is about 378.7937372474.
Adding to 54351104 its reverse (40115345), we get a palindrome (94466449).
The spelling of 54351104 in words is "fifty-four million, three hundred fifty-one thousand, one hundred four".
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