Base | Representation |
---|---|
bin | 111110011111000000000 |
3 | 10212000121220 |
4 | 13303320000 |
5 | 1011004423 |
6 | 111515040 |
7 | 23255232 |
oct | 7637000 |
9 | 3760556 |
10 | 2047488 |
11 | 1179343 |
12 | 828a80 |
13 | 568c41 |
14 | 3b4252 |
15 | 2a69e3 |
hex | 1f3e00 |
2047488 has 80 divisors (see below), whose sum is σ = 5761536. Its totient is φ = 645120.
The previous prime is 2047481. The next prime is 2047501. The reversal of 2047488 is 8847402.
2047488 is nontrivially palindromic in base 7.
It is a super-2 number, since 2×20474882 = 8384414220288, which contains 22 as substring.
It is a zygodrome in base 2.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2047481) by changing a digit.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 47595 + ... + 47637.
22047488 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 2047488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2880768).
2047488 is an abundant number, since it is smaller than the sum of its proper divisors (3714048).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2047488 is an equidigital number, since it uses as much as digits as its factorization.
2047488 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 95 (or 79 counting only the distinct ones).
The product of its (nonzero) digits is 14336, while the sum is 33.
The square root of 2047488 is about 1430.9046089799. The cubic root of 2047488 is about 126.9815006018.
The spelling of 2047488 in words is "two million, forty-seven thousand, four hundred eighty-eight".
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