| Base | Representation |
|---|---|
| bin | 1011110010000… |
| … | …0100000000000 |
| 3 | 10102222121021100 |
| 4 | 2330200200000 |
| 5 | 100122304232 |
| 6 | 4523054400 |
| 7 | 1140013350 |
| oct | 274404000 |
| 9 | 112877240 |
| 10 | 49416192 |
| 11 | 25992131 |
| 12 | 14671400 |
| 13 | a312767 |
| 14 | 67c4b60 |
| 15 | 4511c7c |
| hex | 2f20800 |
49416192 has 144 divisors (see below), whose sum is σ = 163537920. Its totient is φ = 14082048.
The previous prime is 49416181. The next prime is 49416197. The reversal of 49416192 is 29161494.
It is a happy number.
49416192 is a `hidden beast` number, since 494 + 161 + 9 + 2 = 666.
It is a tau number, because it is divible by the number of its divisors (144).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a nude number because it is divisible by every one of its digits.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (49416197) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (7) of ones.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 128833 + ... + 129215.
It is an arithmetic number, because the mean of its divisors is an integer number (1135680).
Almost surely, 249416192 is an apocalyptic number.
49416192 is a gapful number since it is divisible by the number (42) 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 49416192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81768960).
49416192 is an abundant number, since it is smaller than the sum of its proper divisors (114121728).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
49416192 is a wasteful number, since it uses less digits than its factorization.
49416192 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 418 (or 395 counting only the distinct ones).
The product of its digits is 15552, while the sum is 36.
The square root of 49416192 is about 7029.6651413848. The cubic root of 49416192 is about 366.9636880723.
The spelling of 49416192 in words is "forty-nine million, four hundred sixteen thousand, one hundred ninety-two".
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