Search a number
-
+
54650560 = 265672549
BaseRepresentation
bin1101000001111…
…0011011000000
310210211112110211
43100132123000
5102442304220
65231203504
71232344036
oct320363300
9123745424
1054650560
1128937858
1216376594
13b426113
147388556
154be7b5a
hex341e6c0

54650560 has 56 divisors (see below), whose sum is σ = 132130800. Its totient is φ = 21525504.

The previous prime is 54650543. The next prime is 54650573. The reversal of 54650560 is 6505645.

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 7 ways as a sum of consecutive naturals, for example, 20166 + ... + 22714.

Almost surely, 254650560 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 54650560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66065400).

54650560 is an abundant number, since it is smaller than the sum of its proper divisors (77480240).

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

54650560 is a wasteful number, since it uses less digits than its factorization.

54650560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2633 (or 2623 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 31.

The square root of 54650560 is about 7392.6017071123. The cubic root of 54650560 is about 379.4881381607.

The spelling of 54650560 in words is "fifty-four million, six hundred fifty thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 67 80 134 160 268 320 335 536 670 1072 1340 2144 2549 2680 4288 5098 5360 10196 10720 12745 20392 21440 25490 40784 50980 81568 101960 163136 170783 203920 341566 407840 683132 815680 853915 1366264 1707830 2732528 3415660 5465056 6831320 10930112 13662640 27325280 54650560