Base | Representation |
---|---|
bin | 1101000001110… |
… | …0111101000000 |
3 | 10210211020020000 |
4 | 3100130331000 |
5 | 102442111134 |
6 | 5231120000 |
7 | 1232320353 |
oct | 320347500 |
9 | 123736200 |
10 | 54644544 |
11 | 28933289 |
12 | 16373000 |
13 | b423466 |
14 | 738629a |
15 | 4be5e99 |
hex | 341cf40 |
54644544 has 140 divisors (see below), whose sum is σ = 165225984. Its totient is φ = 17853696.
The previous prime is 54644531. The next prime is 54644563. The reversal of 54644544 is 44544645.
54644544 is a `hidden beast` number, since 5 + 4 + 644 + 5 + 4 + 4 = 666.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 54644499 and 54644508.
It is a congruent number.
It is an unprimeable number.
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 19 ways as a sum of consecutive naturals, for example, 430209 + ... + 430335.
Almost surely, 254644544 is an apocalyptic number.
54644544 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 54644544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82612992).
54644544 is an abundant number, since it is smaller than the sum of its proper divisors (110581440).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
54644544 is a wasteful number, since it uses less digits than its factorization.
54644544 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 234 (or 215 counting only the distinct ones).
The product of its digits is 153600, while the sum is 36.
The square root of 54644544 is about 7392.1948026280. The cubic root of 54644544 is about 379.4742128114.
The spelling of 54644544 in words is "fifty-four million, six hundred forty-four thousand, five hundred forty-four".
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