| Base | Representation |
|---|---|
| bin | 1011110111011… |
| … | …1100100000000 |
| 3 | 10110122201110001 |
| 4 | 2331313210000 |
| 5 | 100220212200 |
| 6 | 4534445344 |
| 7 | 1143030130 |
| oct | 275674400 |
| 9 | 113581401 |
| 10 | 49772800 |
| 11 | 26106050 |
| 12 | 14803854 |
| 13 | a408b7c |
| 14 | 6878ac0 |
| 15 | 458276a |
| hex | 2f77900 |
49772800 has 216 divisors, whose sum is σ = 155115072. Its totient is φ = 15360000.
The previous prime is 49772797. The next prime is 49772809. The reversal of 49772800 is 827794.
It is a happy number.
49772800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.
It is a self number, because there is not a number n which added to its sum of digits gives 49772800.
It is not an unprimeable number, because it can be changed into a prime (49772809) 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, 492750 + ... + 492850.
Almost surely, 249772800 is an apocalyptic number.
49772800 is a gapful number since it is divisible by the number (40) 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 49772800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77557536).
49772800 is an abundant number, since it is smaller than the sum of its proper divisors (105342272).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
49772800 is a wasteful number, since it uses less digits than its factorization.
49772800 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 145 (or 126 counting only the distinct ones).
The product of its (nonzero) digits is 28224, while the sum is 37.
The square root of 49772800 is about 7054.9840538445. The cubic root of 49772800 is about 367.8442945568.
It can be divided in two parts, 4977 and 2800, that added together give a palindrome (7777).
The spelling of 49772800 in words is "forty-nine million, seven hundred seventy-two thousand, eight hundred".
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