| Base | Representation |
|---|---|
| bin | 1100111010011… |
| … | …1100110100000 |
| 3 | 10202220210212100 |
| 4 | 3032213212200 |
| 5 | 102331220442 |
| 6 | 5212530400 |
| 7 | 1225246110 |
| oct | 316474640 |
| 9 | 122823770 |
| 10 | 54163872 |
| 11 | 28635134 |
| 12 | 16180a00 |
| 13 | b2b5739 |
| 14 | 729d040 |
| 15 | 4b4d84c |
| hex | 33a79a0 |
54163872 has 144 divisors (see below), whose sum is σ = 179105472. Its totient is φ = 15206400.
The previous prime is 54163871. The next prime is 54163877. The reversal of 54163872 is 27836145.
54163872 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 (144).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is an alternating number because its digits alternate between odd and even.
Its product of digits (40320) is a multiple of the sum of its prime divisors (480).
It is not an unprimeable number, because it can be changed into a prime (54163871) 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 23 ways as a sum of consecutive naturals, for example, 134872 + ... + 135272.
It is an arithmetic number, because the mean of its divisors is an integer number (1243788).
Almost surely, 254163872 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 54163872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89552736).
54163872 is an abundant number, since it is smaller than the sum of its proper divisors (124941600).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
54163872 is a wasteful number, since it uses less digits than its factorization.
54163872 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 491 (or 480 counting only the distinct ones).
The product of its digits is 40320, while the sum is 36.
The square root of 54163872 is about 7359.6108592778. The cubic root of 54163872 is about 378.3582728982.
The spelling of 54163872 in words is "fifty-four million, one hundred sixty-three thousand, eight hundred seventy-two".
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