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3821216 = 25722437
BaseRepresentation
bin1110100100111010100000
321012010201112
432210322200
51434234331
6213522452
744323400
oct16447240
97163645
103821216
11217aa33
121343428
13a3a399
14716800
1550732b
hex3a4ea0

3821216 has 36 divisors (see below), whose sum is σ = 8754858. Its totient is φ = 1636992.

The previous prime is 3821203. The next prime is 3821219. The reversal of 3821216 is 6121283.

It can be written as a sum of positive squares in only one way, i.e., 2371600 + 1449616 = 1540^2 + 1204^2 .

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 3821191 and 3821200.

It is not an unprimeable number, because it can be changed into a prime (3821219) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 350 + ... + 2786.

Almost surely, 23821216 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 3821216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4377429).

3821216 is an abundant number, since it is smaller than the sum of its proper divisors (4933642).

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

3821216 is a wasteful number, since it uses less digits than its factorization.

3821216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2461 (or 2446 counting only the distinct ones).

The product of its digits is 576, while the sum is 23.

The square root of 3821216 is about 1954.7930836792. The cubic root of 3821216 is about 156.3389518042.

Adding to 3821216 its reverse (6121283), we get a palindrome (9942499).

The spelling of 3821216 in words is "three million, eight hundred twenty-one thousand, two hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 112 196 224 392 784 1568 2437 4874 9748 17059 19496 34118 38992 68236 77984 119413 136472 238826 272944 477652 545888 955304 1910608 3821216