| Base | Representation |
|---|---|
| bin | 1011100110101… |
| … | …0111101000000 |
| 3 | 10101120211020000 |
| 4 | 2321222331000 |
| 5 | 44430010301 |
| 6 | 4455120000 |
| 7 | 1130465361 |
| oct | 271527500 |
| 9 | 111524200 |
| 10 | 48672576 |
| 11 | 25524477 |
| 12 | 14373000 |
| 13 | a112154 |
| 14 | 666db68 |
| 15 | 4416786 |
| hex | 2e6af40 |
48672576 has 140 divisors (see below), whose sum is σ = 148445220. Its totient is φ = 15759360.
The previous prime is 48672541. The next prime is 48672583. The reversal of 48672576 is 67527684.
48672576 is a `hidden beast` number, since 4 + 8 + 6 + 72 + 576 = 666.
48672576 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 2 ways, for example, as 23270976 + 25401600 = 4824^2 + 5040^2 .
Its product of digits (564480) is a multiple of the sum of its prime factors (294).
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 19 ways as a sum of consecutive naturals, for example, 212430 + ... + 212658.
It is an arithmetic number, because the mean of its divisors is an integer number (1060323).
Almost surely, 248672576 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 48672576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74222610).
48672576 is an abundant number, since it is smaller than the sum of its proper divisors (99772644).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
48672576 is a wasteful number, since it uses less digits than its factorization.
48672576 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 294 (or 275 counting only the distinct ones).
The product of its digits is 564480, while the sum is 45.
The square root of 48672576 is about 6976.5733709322. The cubic root of 48672576 is about 365.1136844851.
Subtracting from 48672576 its product of digits (564480), we obtain a square (48108096 = 69362).
The spelling of 48672576 in words is "forty-eight million, six hundred seventy-two thousand, five hundred seventy-six".
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