Base | Representation |
---|---|
bin | 1111000011111100000000 |
3 | 21102121000220 |
4 | 33003330000 |
5 | 2002321123 |
6 | 220343040 |
7 | 45363021 |
oct | 17037400 |
9 | 7377026 |
10 | 3948288 |
11 | 2257453 |
12 | 13a4a80 |
13 | a83186 |
14 | 74ac48 |
15 | 52ece3 |
hex | 3c3f00 |
3948288 has 72 divisors (see below), whose sum is σ = 10816848. Its totient is φ = 1277952.
The previous prime is 3948283. The next prime is 3948289. The reversal of 3948288 is 8828493.
It is a happy number.
It is a zygodrome in base 2 and base 4.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (3948281) 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, 40656 + ... + 40752.
It is an arithmetic number, because the mean of its divisors is an integer number (150234).
Almost surely, 23948288 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 3948288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5408424).
3948288 is an abundant number, since it is smaller than the sum of its proper divisors (6868560).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
3948288 is an equidigital number, since it uses as much as digits as its factorization.
3948288 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 169 (or 155 counting only the distinct ones).
The product of its digits is 110592, while the sum is 42.
The square root of 3948288 is about 1987.0299444145. The cubic root of 3948288 is about 158.0530719538.
The spelling of 3948288 in words is "three million, nine hundred forty-eight thousand, two hundred eighty-eight".
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