| Base | Representation |
|---|---|
| bin | 1011110111111… |
| … | …0100000100000 |
| 3 | 10110201011110200 |
| 4 | 2331332200200 |
| 5 | 100222114443 |
| 6 | 4535225200 |
| 7 | 1143206100 |
| oct | 275764040 |
| 9 | 113634420 |
| 10 | 49801248 |
| 11 | 26125462 |
| 12 | 14818200 |
| 13 | a418ac3 |
| 14 | 6885200 |
| 15 | 458add3 |
| hex | 2f7e820 |
49801248 has 108 divisors (see below), whose sum is σ = 164790990. Its totient is φ = 14224896.
The previous prime is 49801243. The next prime is 49801259. The reversal of 49801248 is 84210894.
49801248 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a Cunningham number, because it is equal to 70572-1.
It can be written as a sum of positive squares in only one way, i.e., 48608784 + 1192464 = 6972^2 + 1092^2 .
It is a Harshad number since it is a multiple of its sum of digits (36).
It is not an unprimeable number, because it can be changed into a prime (49801243) 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 17 ways as a sum of consecutive naturals, for example, 12348 + ... + 15876.
Almost surely, 249801248 is an apocalyptic number.
49801248 is a gapful number since it is divisible by the number (48) 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 49801248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82395495).
49801248 is an abundant number, since it is smaller than the sum of its proper divisors (114989742).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
49801248 is a wasteful number, since it uses less digits than its factorization.
49801248 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3559 (or 3541 counting only the distinct ones).
The product of its (nonzero) digits is 18432, while the sum is 36.
The square root of 49801248 is about 7056.9999291484. Note that the first 4 decimals coincide. The cubic root of 49801248 is about 367.9143625555.
The spelling of 49801248 in words is "forty-nine million, eight hundred one thousand, two hundred forty-eight".
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