Search a number
-
+
54044000 = 255359229
BaseRepresentation
bin1100111000101…
…0010101100000
310202200201102122
43032022111200
5102313402000
65210203412
71224236453
oct316122540
9122621378
1054044000
112856306a
1216123568
13b272cca
14726b49a
154b28085
hex338a560

54044000 has 96 divisors (see below), whose sum is σ = 135626400. Its totient is φ = 21158400.

The previous prime is 54043963. The next prime is 54044051. The reversal of 54044000 is 44045.

It is a self number, because there is not a number n which added to its sum of digits gives 54044000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 235886 + ... + 236114.

It is an arithmetic number, because the mean of its divisors is an integer number (1412775).

Almost surely, 254044000 is an apocalyptic number.

54044000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54044000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67813200).

54044000 is an abundant number, since it is smaller than the sum of its proper divisors (81582400).

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

54044000 is a wasteful number, since it uses less digits than its factorization.

54044000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 17.

The square root of 54044000 is about 7351.4624395422. The cubic root of 54044000 is about 378.0789473317.

Adding to 54044000 its reverse (44045), we get a palindrome (54088045).

The spelling of 54044000 in words is "fifty-four million, forty-four thousand", and thus it is an eban number.

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 59 80 100 118 125 160 200 229 236 250 295 400 458 472 500 590 800 916 944 1000 1145 1180 1475 1832 1888 2000 2290 2360 2950 3664 4000 4580 4720 5725 5900 7328 7375 9160 9440 11450 11800 13511 14750 18320 22900 23600 27022 28625 29500 36640 45800 47200 54044 57250 59000 67555 91600 108088 114500 118000 135110 183200 216176 229000 236000 270220 337775 432352 458000 540440 675550 916000 1080880 1351100 1688875 2161760 2702200 3377750 5404400 6755500 10808800 13511000 27022000 54044000