Search a number
-
+
54081440 = 2557109443
BaseRepresentation
bin1100111001001…
…1011110100000
310202202121210022
43032103132200
5102321101230
65211053012
71224453560
oct316233640
9122677708
1054081440
1128589206
1216141168
13b28706a
14727ada0
154b341e5
hex33937a0

54081440 has 96 divisors (see below), whose sum is σ = 147692160. Its totient is φ = 18330624.

The previous prime is 54081439. The next prime is 54081451. The reversal of 54081440 is 4418045.

54081440 = T414 + T415 + ... + T733.

54081440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 121859 + ... + 122301.

It is an arithmetic number, because the mean of its divisors is an integer number (1538460).

Almost surely, 254081440 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 54081440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73846080).

54081440 is an abundant number, since it is smaller than the sum of its proper divisors (93610720).

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

54081440 is a wasteful number, since it uses less digits than its factorization.

54081440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 574 (or 566 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 26.

The square root of 54081440 is about 7354.0084307811. The cubic root of 54081440 is about 378.1662342848.

Adding to 54081440 its reverse (4418045), we get a palindrome (58499485).

The spelling of 54081440 in words is "fifty-four million, eighty-one thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 109 112 140 160 218 224 280 436 443 545 560 763 872 886 1090 1120 1526 1744 1772 2180 2215 3052 3101 3488 3544 3815 4360 4430 6104 6202 7088 7630 8720 8860 12208 12404 14176 15260 15505 17440 17720 24416 24808 30520 31010 35440 48287 49616 61040 62020 70880 96574 99232 122080 124040 193148 241435 248080 338009 386296 482870 496160 676018 772592 965740 1352036 1545184 1690045 1931480 2704072 3380090 3862960 5408144 6760180 7725920 10816288 13520360 27040720 54081440