| Base | Representation |
|---|---|
| bin | 11101110010010… |
| … | …11010101100000 |
| 3 | 122102011200202000 |
| 4 | 32321023111200 |
| 5 | 1002431312124 |
| 6 | 40443324000 |
| 7 | 6122566662 |
| oct | 1671132540 |
| 9 | 572150660 |
| 10 | 249869664 |
| 11 | 119054860 |
| 12 | 6b820600 |
| 13 | 3c9c8295 |
| 14 | 25284532 |
| 15 | 16e0a6c9 |
| hex | ee4b560 |
249869664 has 192 divisors, whose sum is σ = 809948160. Its totient is φ = 74304000.
The previous prime is 249869651. The next prime is 249869681. The reversal of 249869664 is 466968942.
249869664 is a `hidden beast` number, since 2 + 498 + 6 + 96 + 64 = 666.
249869664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a Harshad number since it is a multiple of its sum of digits (54).
It is a nude number because it is divisible by every one of its digits.
It is a self number, because there is not a number n which added to its sum of digits gives 249869664.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 579529 + ... + 579959.
It is an arithmetic number, because the mean of its divisors is an integer number (4218480).
Almost surely, 2249869664 is an apocalyptic number.
249869664 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 249869664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404974080).
249869664 is an abundant number, since it is smaller than the sum of its proper divisors (560078496).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
249869664 is a wasteful number, since it uses less digits than its factorization.
249869664 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 522 (or 508 counting only the distinct ones).
The product of its digits is 4478976, while the sum is 54.
The square root of 249869664 is about 15807.2661772996. The cubic root of 249869664 is about 629.8510305372.
The spelling of 249869664 in words is "two hundred forty-nine million, eight hundred sixty-nine thousand, six hundred sixty-four".
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