Base | Representation |
---|---|
bin | 1101000110011… |
… | …1010111100000 |
3 | 10211101201022220 |
4 | 3101213113200 |
5 | 103031334334 |
6 | 5241431040 |
7 | 1235030112 |
oct | 321472740 |
9 | 124351286 |
10 | 54949344 |
11 | 2902128a |
12 | 1649b480 |
13 | b4cc108 |
14 | 74253b2 |
15 | 4c56449 |
hex | 34675e0 |
54949344 has 48 divisors (see below), whose sum is σ = 145410048. Its totient is φ = 18168192.
The previous prime is 54949343. The next prime is 54949357. The reversal of 54949344 is 44394945.
54949344 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 junction number, because it is equal to n+sod(n) for n = 54949296 and 54949305.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (54949343) 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 7 ways as a sum of consecutive naturals, for example, 9939 + ... + 14445.
It is an arithmetic number, because the mean of its divisors is an integer number (3029376).
Almost surely, 254949344 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 54949344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72705024).
54949344 is an abundant number, since it is smaller than the sum of its proper divisors (90460704).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
54949344 is a wasteful number, since it uses less digits than its factorization.
54949344 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 4647 (or 4639 counting only the distinct ones).
The product of its digits is 311040, while the sum is 42.
The square root of 54949344 is about 7412.7824735385. The cubic root of 54949344 is about 380.1784572686.
The spelling of 54949344 in words is "fifty-four million, nine hundred forty-nine thousand, three hundred forty-four".
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