Search a number
-
+
54166541 = 11132343383
BaseRepresentation
bin1100111010100…
…0010000001101
310202220221112012
43032220100031
5102331312131
65212551005
71225256642
oct316502015
9122827465
1054166541
1128637140
1216182465
13b2b6a10
14729ddc9
154b4e52b
hex33a840d

54166541 has 32 divisors (see below), whose sum is σ = 68124672. Its totient is φ = 42356160.

The previous prime is 54166537. The next prime is 54166571. The reversal of 54166541 is 14566145.

It is not a de Polignac number, because 54166541 - 22 = 54166537 is a prime.

It is a Smith number, since the sum of its digits (32) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 54166498 and 54166507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54166571) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 141236 + ... + 141618.

It is an arithmetic number, because the mean of its divisors is an integer number (2128896).

Almost surely, 254166541 is an apocalyptic number.

It is an amenable number.

54166541 is a deficient number, since it is larger than the sum of its proper divisors (13958131).

54166541 is a wasteful number, since it uses less digits than its factorization.

54166541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 473.

The product of its digits is 14400, while the sum is 32.

The square root of 54166541 is about 7359.7921845661. The cubic root of 54166541 is about 378.3644875059.

The spelling of 54166541 in words is "fifty-four million, one hundred sixty-six thousand, five hundred forty-one".

Divisors: 1 11 13 23 43 143 253 299 383 473 559 989 3289 4213 4979 6149 8809 10879 12857 16469 54769 96899 114517 141427 181159 214097 378787 1259687 2355067 4166657 4924231 54166541