Search a number
-
+
54014304 = 25317231439
BaseRepresentation
bin1100111000001…
…1000101100000
310202122012200210
43032003011200
5102311424204
65205414120
71224054051
oct316030540
9122565623
1054014304
1128542823
121610a340
13b262636
147260728
154b1e389
hex3383160

54014304 has 96 divisors (see below), whose sum is σ = 156764160. Its totient is φ = 16197632.

The previous prime is 54014297. The next prime is 54014309. The reversal of 54014304 is 40341045.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54014309) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36817 + ... + 38255.

It is an arithmetic number, because the mean of its divisors is an integer number (1632960).

Almost surely, 254014304 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 54014304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78382080).

54014304 is an abundant number, since it is smaller than the sum of its proper divisors (102749856).

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

54014304 is a wasteful number, since it uses less digits than its factorization.

54014304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1492 (or 1484 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 54014304 is about 7349.4424278308. The cubic root of 54014304 is about 378.0096859308.

Adding to 54014304 its reverse (40341045), we get a palindrome (94355349).

The spelling of 54014304 in words is "fifty-four million, fourteen thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 16 17 23 24 32 34 46 48 51 68 69 92 96 102 136 138 184 204 272 276 368 391 408 544 552 736 782 816 1104 1173 1439 1564 1632 2208 2346 2878 3128 4317 4692 5756 6256 8634 9384 11512 12512 17268 18768 23024 24463 33097 34536 37536 46048 48926 66194 69072 73389 97852 99291 132388 138144 146778 195704 198582 264776 293556 391408 397164 529552 562649 587112 782816 794328 1059104 1125298 1174224 1588656 1687947 2250596 2348448 3177312 3375894 4501192 6751788 9002384 13503576 18004768 27007152 54014304