| Base | Representation |
|---|---|
| bin | 1011110001111… |
| … | …0100010000000 |
| 3 | 10102222012012200 |
| 4 | 2330132202000 |
| 5 | 100122030003 |
| 6 | 4522553200 |
| 7 | 1136651010 |
| oct | 274364200 |
| 9 | 112865180 |
| 10 | 49408128 |
| 11 | 25987070 |
| 12 | 14668800 |
| 13 | a30bba3 |
| 14 | 67c1c40 |
| 15 | 450e6a3 |
| hex | 2f1e880 |
49408128 has 192 divisors, whose sum is σ = 177577920. Its totient is φ = 12810240.
The previous prime is 49408127. The next prime is 49408129. The reversal of 49408128 is 82180494.
It is an interprime number because it is at equal distance from previous prime (49408127) and next prime (49408129).
It is a tau number, because it is divible by the number of its divisors (192).
It is a super-2 number, since 2×494081282 = 4882326224928768, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 49408092 and 49408101.
It is not an unprimeable number, because it can be changed into a prime (49408127) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 88426 + ... + 88982.
It is an arithmetic number, because the mean of its divisors is an integer number (924885).
Almost surely, 249408128 is an apocalyptic number.
49408128 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 49408128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88788960).
49408128 is an abundant number, since it is smaller than the sum of its proper divisors (128169792).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
49408128 is a wasteful number, since it uses less digits than its factorization.
49408128 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 595 (or 580 counting only the distinct ones).
The product of its (nonzero) digits is 18432, while the sum is 36.
The square root of 49408128 is about 7029.0915486996. The cubic root of 49408128 is about 366.9437259503.
The spelling of 49408128 in words is "forty-nine million, four hundred eight thousand, one hundred twenty-eight".
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