| Base | Representation |
|---|---|
| bin | 1100111111000… |
| … | …0101011100000 |
| 3 | 10210111000110120 |
| 4 | 3033300223200 |
| 5 | 102420310300 |
| 6 | 5223200240 |
| 7 | 1230633561 |
| oct | 317605340 |
| 9 | 123430416 |
| 10 | 54463200 |
| 11 | 2881a010 |
| 12 | 162a6080 |
| 13 | b38ba5c |
| 14 | 733a168 |
| 15 | 4bac3a0 |
| hex | 33f0ae0 |
54463200 has 144 divisors (see below), whose sum is σ = 193487616. Its totient is φ = 13196800.
The previous prime is 54463181. The next prime is 54463217. The reversal of 54463200 is 236445.
54463200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a Harshad number since it is a multiple of its sum of digits (24).
It is a congruent number.
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, 25369 + ... + 27431.
It is an arithmetic number, because the mean of its divisors is an integer number (1343664).
Almost surely, 254463200 is an apocalyptic number.
54463200 is a gapful number since it is divisible by the number (50) 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 54463200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96743808).
54463200 is an abundant number, since it is smaller than the sum of its proper divisors (139024416).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
54463200 is a wasteful number, since it uses less digits than its factorization.
54463200 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2097 (or 2084 counting only the distinct ones).
The product of its (nonzero) digits is 2880, while the sum is 24.
The square root of 54463200 is about 7379.9186987392. The cubic root of 54463200 is about 379.0539717950.
Adding to 54463200 its reverse (236445), we get a palindrome (54699645).
It can be divided in two parts, 5446 and 3200, that added together give a triangular number (8646 = T131).
The spelling of 54463200 in words is "fifty-four million, four hundred sixty-three thousand, two hundred".
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