Search a number
-
+
3563856 = 243224749
BaseRepresentation
bin1101100110000101010000
320201001200200
431212011100
51403020411
6204215200
742202152
oct15460520
96631620
103563856
11201463a
12123a500
1397a1ba
1468aad2
154a5e56
hex366150

3563856 has 30 divisors (see below), whose sum is σ = 9974250. Its totient is φ = 1187904.

The previous prime is 3563851. The next prime is 3563867. The reversal of 3563856 is 6583653.

It can be written as a sum of positive squares in only one way, i.e., 3549456 + 14400 = 1884^2 + 120^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 3563856.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3563851) 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, 12231 + ... + 12518.

It is an arithmetic number, because the mean of its divisors is an integer number (332475).

Almost surely, 23563856 is an apocalyptic number.

3563856 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

3563856 is an abundant number, since it is smaller than the sum of its proper divisors (6410394).

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

3563856 is a wasteful number, since it uses less digits than its factorization.

3563856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24763 (or 24754 counting only the distinct ones).

The product of its digits is 64800, while the sum is 36.

The square root of 3563856 is about 1887.8177878175. The cubic root of 3563856 is about 152.7472438324.

The spelling of 3563856 in words is "three million, five hundred sixty-three thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 24749 49498 74247 98996 148494 197992 222741 296988 395984 445482 593976 890964 1187952 1781928 3563856