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3981568 = 28103151
BaseRepresentation
bin1111001100000100000000
321111021200111
433030010000
52004402233
6221201104
745562033
oct17140400
97437614
103981568
11227a458
121400194
13a95376
1475901a
15539acd
hex3cc100

3981568 has 36 divisors (see below), whose sum is σ = 8077888. Its totient is φ = 1958400.

The previous prime is 3981563. The next prime is 3981569. The reversal of 3981568 is 8651893.

It is a happy number.

Its product of digits (51840) is a multiple of the sum of its prime factors (270).

It is a self number, because there is not a number n which added to its sum of digits gives 3981568.

It is not an unprimeable number, because it can be changed into a prime (3981563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 26293 + ... + 26443.

Almost surely, 23981568 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 3981568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4038944).

3981568 is an abundant number, since it is smaller than the sum of its proper divisors (4096320).

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

3981568 is a wasteful number, since it uses less digits than its factorization.

3981568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 256 counting only the distinct ones).

The product of its digits is 51840, while the sum is 40.

The square root of 3981568 is about 1995.3866793181. The cubic root of 3981568 is about 158.4959049186.

The spelling of 3981568 in words is "three million, nine hundred eighty-one thousand, five hundred sixty-eight".

Divisors: 1 2 4 8 16 32 64 103 128 151 206 256 302 412 604 824 1208 1648 2416 3296 4832 6592 9664 13184 15553 19328 26368 31106 38656 62212 124424 248848 497696 995392 1990784 3981568