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3995648 = 2111951
BaseRepresentation
bin1111001111100000000000
321111222222222
433033200000
52010330043
6221350212
745651056
oct17174000
97458888
103995648
112289a98
121408368
13a9b8b7
147601d6
1553dd68
hex3cf800

3995648 has 24 divisors (see below), whose sum is σ = 7993440. Its totient is φ = 1996800.

The previous prime is 3995647. The next prime is 3995653. The reversal of 3995648 is 8465993.

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 3995599 and 3995608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3995647) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1073 + ... + 3023.

It is an arithmetic number, because the mean of its divisors is an integer number (333060).

Almost surely, 23995648 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 3995648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3996720).

3995648 is an abundant number, since it is smaller than the sum of its proper divisors (3997792).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3995648 is an equidigital number, since it uses as much as digits as its factorization.

3995648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1973 (or 1953 counting only the distinct ones).

The product of its digits is 233280, while the sum is 44.

The square root of 3995648 is about 1998.9117039029. The cubic root of 3995648 is about 158.6825145607.

It can be divided in two parts, 39956 and 48, that added together give a palindrome (40004).

The spelling of 3995648 in words is "three million, nine hundred ninety-five thousand, six hundred forty-eight".

Divisors: 1 2 4 8 16 32 64 128 256 512 1024 1951 2048 3902 7804 15608 31216 62432 124864 249728 499456 998912 1997824 3995648