Base | Representation |
---|---|
bin | 1001100010000010000000 |
3 | 11200221120000 |
4 | 21202002000 |
5 | 1114424223 |
6 | 125320000 |
7 | 30144543 |
oct | 11420200 |
9 | 4627500 |
10 | 2498688 |
11 | 1457335 |
12 | a06000 |
13 | 69641a |
14 | 49085a |
15 | 345543 |
hex | 262080 |
2498688 has 80 divisors (see below), whose sum is σ = 7466910. Its totient is φ = 829440.
The previous prime is 2498659. The next prime is 2498689. The reversal of 2498688 is 8868942.
It is a happy number.
2498688 is nontrivially palindromic in base 15.
It can be written as a sum of positive squares in only one way, i.e., 1871424 + 627264 = 1368^2 + 792^2 .
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 (2498689) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (5) of ones.
It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 10248 + ... + 10488.
22498688 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 2498688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3733455).
2498688 is an abundant number, since it is smaller than the sum of its proper divisors (4968222).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2498688 is an equidigital number, since it uses as much as digits as its factorization.
2498688 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 267 (or 246 counting only the distinct ones).
The product of its digits is 221184, while the sum is 45.
The square root of 2498688 is about 1580.7238848072. The cubic root of 2498688 is about 135.6971345692.
The spelling of 2498688 in words is "two million, four hundred ninety-eight thousand, six hundred eighty-eight".
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