Base | Representation |
---|---|
bin | 1100111101110… |
… | …0011001110000 |
3 | 10210022210112102 |
4 | 3033130121300 |
5 | 102410131034 |
6 | 5221315532 |
7 | 1230136460 |
oct | 317343160 |
9 | 123283472 |
10 | 54380144 |
11 | 28772675 |
12 | 16265ba8 |
13 | b360000 |
14 | 7317ba0 |
15 | 4b9297e |
hex | 33dc670 |
54380144 has 100 divisors (see below), whose sum is σ = 138120624. Its totient is φ = 20247552.
The previous prime is 54380113. The next prime is 54380159. The reversal of 54380144 is 44108345.
It is a super-2 number, since 2×543801442 = 5914400122921472, which contains 22 as substring.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3198824 + ... + 3198840.
Almost surely, 254380144 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 54380144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69060312).
54380144 is an abundant number, since it is smaller than the sum of its proper divisors (83740480).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
54380144 is an equidigital number, since it uses as much as digits as its factorization.
54380144 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 84 (or 39 counting only the distinct ones).
The product of its (nonzero) digits is 7680, while the sum is 29.
The square root of 54380144 is about 7374.2893894937. The cubic root of 54380144 is about 378.8611888768.
Adding to 54380144 its reverse (44108345), we get a palindrome (98488489).
The spelling of 54380144 in words is "fifty-four million, three hundred eighty thousand, one hundred forty-four".
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