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5583104 = 28113193
BaseRepresentation
bin10101010011000100000000
3101111122120122
4111103010000
52412124404
6315355412
765312162
oct25230400
911448518
105583104
11317373a
121a52b68
131206317
14a54932
157543be
hex553100

5583104 has 36 divisors (see below), whose sum is σ = 11301276. Its totient is φ = 2752512.

The previous prime is 5583091. The next prime is 5583107. The reversal of 5583104 is 4013855.

It can be written as a sum of positive squares in 2 ways, for example, as 565504 + 5017600 = 752^2 + 2240^2 .

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (5583107) 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, 28832 + ... + 29024.

Almost surely, 25583104 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 5583104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5650638).

5583104 is an abundant number, since it is smaller than the sum of its proper divisors (5718172).

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

5583104 is a wasteful number, since it uses less digits than its factorization.

5583104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322 (or 308 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 26.

The square root of 5583104 is about 2362.8592848496. The cubic root of 5583104 is about 177.4020248830.

Adding to 5583104 its reverse (4013855), we get a palindrome (9596959).

The spelling of 5583104 in words is "five million, five hundred eighty-three thousand, one hundred four".

Divisors: 1 2 4 8 16 32 64 113 128 193 226 256 386 452 772 904 1544 1808 3088 3616 6176 7232 12352 14464 21809 24704 28928 43618 49408 87236 174472 348944 697888 1395776 2791552 5583104