Search a number
-
+
54440544 = 2532232543
BaseRepresentation
bin1100111110101…
…1001001100000
310210102212101110
43033223021200
5102414044134
65222503320
71230510534
oct317531140
9123385343
1054440544
1128803a94
1216294b40
13b381652
147331bc4
154ba57e9
hex33eb260

54440544 has 48 divisors (see below), whose sum is σ = 143603712. Its totient is φ = 18058368.

The previous prime is 54440543. The next prime is 54440549. The reversal of 54440544 is 44504445.

It is a happy number.

54440544 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54440543) 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, 20137 + ... + 22679.

It is an arithmetic number, because the mean of its divisors is an integer number (2991744).

Almost surely, 254440544 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 54440544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71801856).

54440544 is an abundant number, since it is smaller than the sum of its proper divisors (89163168).

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

54440544 is a wasteful number, since it uses less digits than its factorization.

54440544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2779 (or 2771 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 30.

The square root of 54440544 is about 7378.3835628137. The cubic root of 54440544 is about 379.0014039579.

Adding to 54440544 its reverse (44504445), we get a palindrome (98944989).

The spelling of 54440544 in words is "fifty-four million, four hundred forty thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 223 446 669 892 1338 1784 2543 2676 3568 5086 5352 7136 7629 10172 10704 15258 20344 21408 30516 40688 61032 81376 122064 244128 567089 1134178 1701267 2268356 3402534 4536712 6805068 9073424 13610136 18146848 27220272 54440544