| Base | Representation |
|---|---|
| bin | 11101101111011… |
| … | …00111110100000 |
| 3 | 122101110001120100 |
| 4 | 32313230332200 |
| 5 | 1002331430133 |
| 6 | 40431142400 |
| 7 | 6116400114 |
| oct | 1667547640 |
| 9 | 571401510 |
| 10 | 249483168 |
| 11 | 118910440 |
| 12 | 6b674a00 |
| 13 | 3c8c139c |
| 14 | 251c3744 |
| 15 | 16d80e13 |
| hex | edecfa0 |
249483168 has 144 divisors (see below), whose sum is σ = 787262112. Its totient is φ = 74304000.
The previous prime is 249483163. The next prime is 249483173. The reversal of 249483168 is 861384942.
It is a happy number.
249483168 is a `hidden beast` number, since 2 + 4 + 9 + 483 + 168 = 666.
It is an interprime number because it is at equal distance from previous prime (249483163) and next prime (249483173).
It is a tau number, because it is divible by the number of its divisors (144).
It is a super-2 number, since 2×2494831682 = 124483702230632448, which contains 22 as substring.
It is a nude number because it is divisible by every one of its digits.
It is not an unprimeable number, because it can be changed into a prime (249483161) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 192603 + ... + 193893.
It is an arithmetic number, because the mean of its divisors is an integer number (5467098).
Almost surely, 2249483168 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 249483168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393631056).
249483168 is an abundant number, since it is smaller than the sum of its proper divisors (537778944).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
249483168 is a wasteful number, since it uses less digits than its factorization.
249483168 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1379 (or 1368 counting only the distinct ones).
The product of its digits is 331776, while the sum is 45.
The square root of 249483168 is about 15795.0361822947. The cubic root of 249483168 is about 629.5261137756.
The spelling of 249483168 in words is "two hundred forty-nine million, four hundred eighty-three thousand, one hundred sixty-eight".
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