Base | Representation |
---|---|
bin | 11101110000100… |
… | …11010001000000 |
3 | 122101202000200221 |
4 | 32320103101000 |
5 | 1002401440000 |
6 | 40434352424 |
7 | 6120622261 |
oct | 1670232100 |
9 | 571660627 |
10 | 249640000 |
11 | 118a08255 |
12 | 6b72b714 |
13 | 3c94789c |
14 | 25224968 |
15 | 16db261a |
hex | ee13440 |
249640000 has 105 divisors (see below), whose sum is σ = 626961027. Its totient is φ = 98592000.
The previous prime is 249639989. The next prime is 249640007. The reversal of 249640000 is 46942.
The square root of 249640000 is 15800.
It is a perfect power (a square), and thus also a powerful number.
It can be written as a sum of positive squares in 2 ways, for example, as 19571776 + 230068224 = 4424^2 + 15168^2 .
It is a Harshad number since it is a multiple of its sum of digits (25).
It is a Duffinian number.
It is not an unprimeable number, because it can be changed into a prime (249640007) 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 14 ways as a sum of consecutive naturals, for example, 3159961 + ... + 3160039.
Almost surely, 2249640000 is an apocalyptic number.
249640000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.
249640000 is the 15800-th square number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 249640000
249640000 is an abundant number, since it is smaller than the sum of its proper divisors (377321027).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
249640000 is an frugal number, since it uses more digits than its factorization.
249640000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 190 (or 86 counting only the distinct ones).
The product of its (nonzero) digits is 1728, while the sum is 25.
The cubic root of 249640000 is about 629.6579986363.
Multiplying 249640000 by its sum of digits (25), we get a square (6241000000 = 790002).
249640000 divided by its sum of digits (25) gives a square (9985600 = 31602).
Adding to 249640000 its reverse (46942), we get a palindrome (249686942).
The spelling of 249640000 in words is "two hundred forty-nine million, six hundred forty thousand".
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