Base | Representation |
---|---|
bin | 1101000011110… |
… | …1011110010000 |
3 | 10211001222221100 |
4 | 3100331132100 |
5 | 103010341434 |
6 | 5234024400 |
7 | 1233413610 |
oct | 320753620 |
9 | 124058840 |
10 | 54777744 |
11 | 28a1436a |
12 | 16418100 |
13 | b46bc88 |
14 | 73bca40 |
15 | 4c20699 |
hex | 343d790 |
54777744 has 120 divisors (see below), whose sum is σ = 180956672. Its totient is φ = 15137280.
The previous prime is 54777739. The next prime is 54777761. The reversal of 54777744 is 44777745.
54777744 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a self number, because there is not a number n which added to its sum of digits gives 54777744.
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 23 ways as a sum of consecutive naturals, for example, 30372 + ... + 32124.
Almost surely, 254777744 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 54777744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90478336).
54777744 is an abundant number, since it is smaller than the sum of its proper divisors (126178928).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
54777744 is a wasteful number, since it uses less digits than its factorization.
54777744 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1805 (or 1796 counting only the distinct ones).
The product of its digits is 768320, while the sum is 45.
The square root of 54777744 is about 7401.1988218126. The cubic root of 54777744 is about 379.7822945042.
Subtracting from 54777744 its reverse (44777745), we obtain a palindrome (9999999).
The spelling of 54777744 in words is "fifty-four million, seven hundred seventy-seven thousand, seven hundred forty-four".
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