Search a number
-
+
5623632 = 243272797
BaseRepresentation
bin10101011100111101010000
3101120201011200
4111130331100
52414424012
6320311200
765541300
oct25347520
911521150
105623632
1131a1133
121a72500
13121b8c1
14a65600
157613dc
hex55cf50

5623632 has 90 divisors (see below), whose sum is σ = 18330858. Its totient is φ = 1604736.

The previous prime is 5623627. The next prime is 5623649. The reversal of 5623632 is 2363265.

5623632 is a `hidden beast` number, since 5 + 6 + 23 + 632 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4769856 + 853776 = 2184^2 + 924^2 .

It is a junction number, because it is equal to n+sod(n) for n = 5623596 and 5623605.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 6658 + ... + 7454.

Almost surely, 25623632 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 5623632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9165429).

5623632 is an abundant number, since it is smaller than the sum of its proper divisors (12707226).

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

5623632 is a wasteful number, since it uses less digits than its factorization.

5623632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 825 (or 809 counting only the distinct ones).

The product of its digits is 6480, while the sum is 27.

The square root of 5623632 is about 2371.4198278668. The cubic root of 5623632 is about 177.8302467814.

Adding to 5623632 its reverse (2363265), we get a palindrome (7986897).

The spelling of 5623632 in words is "five million, six hundred twenty-three thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 49 56 63 72 84 98 112 126 144 147 168 196 252 294 336 392 441 504 588 784 797 882 1008 1176 1594 1764 2352 2391 3188 3528 4782 5579 6376 7056 7173 9564 11158 12752 14346 16737 19128 22316 28692 33474 38256 39053 44632 50211 57384 66948 78106 89264 100422 114768 117159 133896 156212 200844 234318 267792 312424 351477 401688 468636 624848 702954 803376 937272 1405908 1874544 2811816 5623632