| Base | Representation |
|---|---|
| bin | 11101101101110… |
| … | …11111001100000 |
| 3 | 122101001211211000 |
| 4 | 32312323321200 |
| 5 | 1002304012034 |
| 6 | 40422552000 |
| 7 | 6114602046 |
| oct | 1666737140 |
| 9 | 571054730 |
| 10 | 249282144 |
| 11 | 118793401 |
| 12 | 6b598600 |
| 13 | 3c850a37 |
| 14 | 25170396 |
| 15 | 16d41599 |
| hex | edbbe60 |
249282144 has 96 divisors (see below), whose sum is σ = 752220000. Its totient is φ = 80220672.
The previous prime is 249282133. The next prime is 249282149. The reversal of 249282144 is 441282942.
It is a tau number, because it is divible by the number of its divisors (96).
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 junction number, because it is equal to n+sod(n) for n = 249282099 and 249282108.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (249282149) 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 15 ways as a sum of consecutive naturals, for example, 20082 + ... + 30030.
It is an arithmetic number, because the mean of its divisors is an integer number (7835625).
Almost surely, 2249282144 is an apocalyptic number.
249282144 is a gapful number since it is divisible by the number (24) 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 249282144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376110000).
249282144 is an abundant number, since it is smaller than the sum of its proper divisors (502937856).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
249282144 is a wasteful number, since it uses less digits than its factorization.
249282144 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 9997 (or 9983 counting only the distinct ones).
The product of its digits is 36864, while the sum is 36.
The square root of 249282144 is about 15788.6713817218. The cubic root of 249282144 is about 629.3569856491.
It can be divided in two parts, 24928 and 2144, that added together give a palindrome (27072).
The spelling of 249282144 in words is "two hundred forty-nine million, two hundred eighty-two thousand, one hundred forty-four".
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