Search a number
-
+
54234896 = 2417237317
BaseRepresentation
bin1100111011100…
…0111100010000
310210001102021212
43032320330100
5102341004041
65214235252
71225663142
oct316707420
9123042255
1054234896
1128683531
12161b5b28
13b30bb71
1472bac92
154b648eb
hex33b8f10

54234896 has 60 divisors (see below), whose sum is σ = 115003428. Its totient is φ = 24754176.

The previous prime is 54234857. The next prime is 54234899. The reversal of 54234896 is 69843245.

54234896 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 3312400 + 50922496 = 1820^2 + 7136^2 .

It is not an unprimeable number, because it can be changed into a prime (54234899) 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 11 ways as a sum of consecutive naturals, for example, 170930 + ... + 171246.

Almost surely, 254234896 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 54234896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57501714).

54234896 is an abundant number, since it is smaller than the sum of its proper divisors (60768532).

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

54234896 is a wasteful number, since it uses less digits than its factorization.

54234896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396 (or 373 counting only the distinct ones).

The product of its digits is 207360, while the sum is 41.

The square root of 54234896 is about 7364.4345336217. The cubic root of 54234896 is about 378.5235785391.

The spelling of 54234896 in words is "fifty-four million, two hundred thirty-four thousand, eight hundred ninety-six".

Divisors: 1 2 4 8 16 17 34 37 68 74 136 148 272 289 296 317 578 592 629 634 1156 1258 1268 2312 2516 2536 4624 5032 5072 5389 10064 10693 10778 11729 21386 21556 23458 42772 43112 46916 85544 86224 91613 93832 171088 183226 187664 199393 366452 398786 732904 797572 1465808 1595144 3190288 3389681 6779362 13558724 27117448 54234896