Search a number
-
+
55236544 = 2611312531
BaseRepresentation
bin1101001010110…
…1011111000000
310211221022021221
43102231133000
5103120032134
65251524424
71240334326
oct322553700
9124838257
1055236544
11291a8040
12165b9714
13b59ca5c
14749bd16
154cb15b4
hex34ad7c0

55236544 has 56 divisors (see below), whose sum is σ = 123480576. Its totient is φ = 24288000.

The previous prime is 55236541. The next prime is 55236569. The reversal of 55236544 is 44563255.

55236544 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55236541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20559 + ... + 23089.

Almost surely, 255236544 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 55236544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61740288).

55236544 is an abundant number, since it is smaller than the sum of its proper divisors (68244032).

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

55236544 is a wasteful number, since it uses less digits than its factorization.

55236544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2585 (or 2575 counting only the distinct ones).

The product of its digits is 72000, while the sum is 34.

The square root of 55236544 is about 7432.1291700293. The cubic root of 55236544 is about 380.8396576168.

Adding to 55236544 its reverse (44563255), we get a palindrome (99799799).

Subtracting from 55236544 its reverse (44563255), we obtain a square (10673289 = 32672).

The spelling of 55236544 in words is "fifty-five million, two hundred thirty-six thousand, five hundred forty-four".

Divisors: 1 2 4 8 11 16 22 31 32 44 62 64 88 124 176 248 341 352 496 682 704 992 1364 1984 2531 2728 5062 5456 10124 10912 20248 21824 27841 40496 55682 78461 80992 111364 156922 161984 222728 313844 445456 627688 863071 890912 1255376 1726142 1781824 2510752 3452284 5021504 6904568 13809136 27618272 55236544