Search a number
-
+
54242818 = 2717292271
BaseRepresentation
bin1100111011101…
…0111000000010
310210001211011021
43032322320002
5102341232233
65214340054
71226025220
oct316727002
9123054137
1054242818
1128689483
12161ba62a
13b312656
1472bdb10
154b66e2d
hex33bae02

54242818 has 48 divisors (see below), whose sum is σ = 102345984. Its totient is φ = 21047040.

The previous prime is 54242813. The next prime is 54242833. The reversal of 54242818 is 81824245.

54242818 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×542428182 = 5884566609162248, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54242813) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 200023 + ... + 200293.

It is an arithmetic number, because the mean of its divisors is an integer number (2132208).

Almost surely, 254242818 is an apocalyptic number.

54242818 is a gapful number since it is divisible by the number (58) formed by its first and last digit.

54242818 is a deficient number, since it is larger than the sum of its proper divisors (48103166).

54242818 is a wasteful number, since it uses less digits than its factorization.

54242818 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355 (or 326 counting only the distinct ones).

The product of its digits is 20480, while the sum is 34.

The square root of 54242818 is about 7364.9723692625. The cubic root of 54242818 is about 378.5420077426.

The spelling of 54242818 in words is "fifty-four million, two hundred forty-two thousand, eight hundred eighteen".

Divisors: 1 2 7 14 17 29 34 58 119 203 238 271 406 493 542 841 986 1682 1897 3451 3794 4607 5887 6902 7859 9214 11774 14297 15718 28594 32249 55013 64498 100079 110026 133603 200158 227911 267206 455822 935221 1595377 1870442 3190754 3874487 7748974 27121409 54242818