| Base | Representation |
|---|---|
| bin | 1100111010010… |
| … | …0001111010100 |
| 3 | 10202220002222021 |
| 4 | 3032210033110 |
| 5 | 102330300400 |
| 6 | 5212342524 |
| 7 | 1225161004 |
| oct | 316441724 |
| 9 | 122802867 |
| 10 | 54150100 |
| 11 | 28625854 |
| 12 | 16174a44 |
| 13 | b2ac3a4 |
| 14 | 7298004 |
| 15 | 4b4971a |
| hex | 33a43d4 |
54150100 has 72 divisors (see below), whose sum is σ = 126976248. Its totient is φ = 19968000.
The previous prime is 54150097. The next prime is 54150101. The reversal of 54150100 is 105145.
It is a happy number.
54150100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in 12 ways, for example, as 391876 + 53758224 = 626^2 + 7332^2 .
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (54150101) 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, 89800 + ... + 90400.
It is an arithmetic number, because the mean of its divisors is an integer number (1763559).
Almost surely, 254150100 is an apocalyptic number.
54150100 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 54150100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63488124).
54150100 is an abundant number, since it is smaller than the sum of its proper divisors (72826148).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
54150100 is a wasteful number, since it uses less digits than its factorization.
54150100 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 685 (or 678 counting only the distinct ones).
The product of its (nonzero) digits is 100, while the sum is 16.
The square root of 54150100 is about 7358.6751524986. The cubic root of 54150100 is about 378.3262023708.
Adding to 54150100 its reverse (105145), we get a palindrome (54255245).
The spelling of 54150100 in words is "fifty-four million, one hundred fifty thousand, one hundred".
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