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5781632 = 27172657
BaseRepresentation
bin10110000011100010000000
3101212201220112
4112003202000
52440003012
6323530452
7100100033
oct26034200
911781815
105781632
11329990a
121b29a28
1312757ac
14aa701a
15793122
hex583880

5781632 has 32 divisors (see below), whose sum is σ = 12200220. Its totient is φ = 2719744.

The previous prime is 5781623. The next prime is 5781637. The reversal of 5781632 is 2361875.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 5494336 + 287296 = 2344^2 + 536^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a d-powerful number, because it can be written as 53 + 78 + 8 + 1 + 65 + 36 + 213 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5781637) 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, 848 + ... + 3504.

Almost surely, 25781632 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 5781632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6100110).

5781632 is an abundant number, since it is smaller than the sum of its proper divisors (6418588).

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

5781632 is a wasteful number, since it uses less digits than its factorization.

5781632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2688 (or 2676 counting only the distinct ones).

The product of its digits is 10080, while the sum is 32.

The square root of 5781632 is about 2404.5024433342. The cubic root of 5781632 is about 179.4803117219.

The spelling of 5781632 in words is "five million, seven hundred eighty-one thousand, six hundred thirty-two".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 272 544 1088 2176 2657 5314 10628 21256 42512 45169 85024 90338 170048 180676 340096 361352 722704 1445408 2890816 5781632