Search a number
-
+
54242804 = 227211139181
BaseRepresentation
bin1100111011101…
…0110111110100
310210001211010202
43032322313310
5102341232204
65214340032
71226025200
oct316726764
9123054122
1054242804
1128689470
12161ba618
13b312645
1472bdb00
154b66e1e
hex33badf4

54242804 has 72 divisors (see below), whose sum is σ = 121998240. Its totient is φ = 20865600.

The previous prime is 54242803. The next prime is 54242813. The reversal of 54242804 is 40824245.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54242803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 299594 + ... + 299774.

It is an arithmetic number, because the mean of its divisors is an integer number (1694420).

Almost surely, 254242804 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 54242804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60999120).

54242804 is an abundant number, since it is smaller than the sum of its proper divisors (67755436).

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

54242804 is a wasteful number, since it uses less digits than its factorization.

54242804 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 29.

The square root of 54242804 is about 7364.9714188176. The cubic root of 54242804 is about 378.5419751755.

It can be divided in two parts, 5424 and 2804, that added together give a palindrome (8228).

The spelling of 54242804 in words is "fifty-four million, two hundred forty-two thousand, eight hundred four".

Divisors: 1 2 4 7 11 14 22 28 44 49 77 98 139 154 181 196 278 308 362 539 556 724 973 1078 1267 1529 1946 1991 2156 2534 3058 3892 3982 5068 6116 6811 7964 8869 10703 13622 13937 17738 21406 25159 27244 27874 35476 42812 50318 55748 74921 97559 100636 149842 176113 195118 276749 299684 352226 390236 553498 704452 1106996 1232791 1937243 2465582 3874486 4931164 7748972 13560701 27121402 54242804