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54443040 = 25351011123
BaseRepresentation
bin1100111110101…
…1110000100000
310210102222210220
43033223300200
5102414134130
65222523040
71230521031
oct317536040
9123388726
1054443040
1128805953
1216296480
13b382822
147332a88
154ba6410
hex33ebc20

54443040 has 96 divisors (see below), whose sum is σ = 173347776. Its totient is φ = 14361600.

The previous prime is 54443033. The next prime is 54443057. The reversal of 54443040 is 4034445.

54443040 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 (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 54443040.

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, 47919 + ... + 49041.

It is an arithmetic number, because the mean of its divisors is an integer number (1805706).

Almost surely, 254443040 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 54443040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86673888).

54443040 is an abundant number, since it is smaller than the sum of its proper divisors (118904736).

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

54443040 is a wasteful number, since it uses less digits than its factorization.

54443040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1242 (or 1234 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 24.

The square root of 54443040 is about 7378.5527036134. The cubic root of 54443040 is about 379.0071960446.

Adding to 54443040 its reverse (4034445), we get a palindrome (58477485).

The spelling of 54443040 in words is "fifty-four million, four hundred forty-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 101 120 160 202 240 303 404 480 505 606 808 1010 1123 1212 1515 1616 2020 2246 2424 3030 3232 3369 4040 4492 4848 5615 6060 6738 8080 8984 9696 11230 12120 13476 16160 16845 17968 22460 24240 26952 33690 35936 44920 48480 53904 67380 89840 107808 113423 134760 179680 226846 269520 340269 453692 539040 567115 680538 907384 1134230 1361076 1701345 1814768 2268460 2722152 3402690 3629536 4536920 5444304 6805380 9073840 10888608 13610760 18147680 27221520 54443040