Search a number
-
+
54241728 = 2632371173
BaseRepresentation
bin1100111011101…
…0100111000000
310210001202122220
43032322213000
5102341213403
65214331040
71226022102
oct316724700
9123052586
1054241728
1128688682
12161b9a80
13b311cc8
1472bd572
154b66953
hex33ba9c0

54241728 has 112 divisors (see below), whose sum is σ = 152741376. Its totient is φ = 16952320.

The previous prime is 54241717. The next prime is 54241753. The reversal of 54241728 is 82714245.

54241728 is nontrivially palindromic in base 11.

54241728 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 an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 313450 + ... + 313622.

Almost surely, 254241728 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 54241728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76370688).

54241728 is an abundant number, since it is smaller than the sum of its proper divisors (98499648).

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

54241728 is a wasteful number, since it uses less digits than its factorization.

54241728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 272 counting only the distinct ones).

The product of its digits is 17920, while the sum is 33.

The square root of 54241728 is about 7364.8983699709. The cubic root of 54241728 is about 378.5394721470.

The spelling of 54241728 in words is "fifty-four million, two hundred forty-one thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 71 92 96 138 142 173 184 192 213 276 284 346 368 426 519 552 568 692 736 852 1038 1104 1136 1384 1472 1633 1704 2076 2208 2272 2768 3266 3408 3979 4152 4416 4544 4899 5536 6532 6816 7958 8304 9798 11072 11937 12283 13064 13632 15916 16608 19596 23874 24566 26128 31832 33216 36849 39192 47748 49132 52256 63664 73698 78384 95496 98264 104512 127328 147396 156768 190992 196528 254656 282509 294792 313536 381984 393056 565018 589584 763968 786112 847527 1130036 1179168 1695054 2260072 2358336 3390108 4520144 6780216 9040288 13560432 18080576 27120864 54241728