Search a number
-
+
3563056 = 247291097
BaseRepresentation
bin1101100101111000110000
320201000121001
431211320300
51403004211
6204211344
742166630
oct15457060
96630531
103563056
112013a82
121239b54
13979a23
1468a6c0
154a5ac1
hex365e30

3563056 has 40 divisors (see below), whose sum is σ = 8169120. Its totient is φ = 1473024.

The previous prime is 3563041. The next prime is 3563059. The reversal of 3563056 is 6503653.

3563056 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (3563059) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2700 + ... + 3796.

It is an arithmetic number, because the mean of its divisors is an integer number (204228).

Almost surely, 23563056 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 3563056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4084560).

3563056 is an abundant number, since it is smaller than the sum of its proper divisors (4606064).

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

3563056 is a wasteful number, since it uses less digits than its factorization.

3563056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1141 (or 1135 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 28.

The square root of 3563056 is about 1887.6058910694. The cubic root of 3563056 is about 152.7358136157.

The spelling of 3563056 in words is "three million, five hundred sixty-three thousand, fifty-six".

Divisors: 1 2 4 7 8 14 16 28 29 56 58 112 116 203 232 406 464 812 1097 1624 2194 3248 4388 7679 8776 15358 17552 30716 31813 61432 63626 122864 127252 222691 254504 445382 509008 890764 1781528 3563056