Base | Representation |
---|---|
bin | 1110011011011101100000 |
3 | 21010011121110 |
4 | 32123131200 |
5 | 1432014441 |
6 | 213023320 |
7 | 44102454 |
oct | 16333540 |
9 | 7104543 |
10 | 3782496 |
11 | 2153933 |
12 | 1324b40 |
13 | a25883 |
14 | 706664 |
15 | 4eab16 |
hex | 39b760 |
3782496 has 72 divisors (see below), whose sum is σ = 10509912. Its totient is φ = 1190400.
The previous prime is 3782491. The next prime is 3782503. The reversal of 3782496 is 6942873.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (3782491) by changing a digit.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 92236 + ... + 92276.
It is an arithmetic number, because the mean of its divisors is an integer number (145971).
Almost surely, 23782496 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 3782496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5254956).
3782496 is an abundant number, since it is smaller than the sum of its proper divisors (6727416).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
3782496 is a wasteful number, since it uses less digits than its factorization.
3782496 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 116 (or 77 counting only the distinct ones).
The product of its digits is 72576, while the sum is 39.
The square root of 3782496 is about 1944.8640055284. The cubic root of 3782496 is about 155.8091024567.
It can be divided in two parts, 3782 and 496, that added together give a triangular number (4278 = T92).
The spelling of 3782496 in words is "three million, seven hundred eighty-two thousand, four hundred ninety-six".
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