Search a number
-
+
4824363204 = 2232134010089
BaseRepresentation
bin1000111111000110…
…11111000011000100
3110110012220001011200
410133203133003010
534340014110304
62114414502500
7230360260563
oct43743370304
913405801150
104824363204
112056255531
12b27804a30
135bb6549ab
1433aa21bda
151d3810e39
hex11f8df0c4

4824363204 has 18 divisors (see below), whose sum is σ = 12194918190. Its totient is φ = 1608121056.

The previous prime is 4824363197. The next prime is 4824363209. The reversal of 4824363204 is 4023634284.

It can be written as a sum of positive squares in only one way, i.e., 4788363204 + 36000000 = 69198^2 + 6000^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 134010089 = 4824363204 / (4 + 8 + 2 + 4 + 3 + 6 + 3 + 2 + 0 + 4).

It is not an unprimeable number, because it can be changed into a prime (4824363209) 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 5 ways as a sum of consecutive naturals, for example, 67005009 + ... + 67005080.

It is an arithmetic number, because the mean of its divisors is an integer number (677495455).

Almost surely, 24824363204 is an apocalyptic number.

It is an amenable number.

4824363204 is an abundant number, since it is smaller than the sum of its proper divisors (7370554986).

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

4824363204 is a wasteful number, since it uses less digits than its factorization.

4824363204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134010099 (or 134010094 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

The square root of 4824363204 is about 69457.6360380916. The cubic root of 4824363204 is about 1689.7145047186.

Adding to 4824363204 its reverse (4023634284), we get a palindrome (8847997488).

The spelling of 4824363204 in words is "four billion, eight hundred twenty-four million, three hundred sixty-three thousand, two hundred four".

Divisors: 1 2 3 4 6 9 12 18 36 134010089 268020178 402030267 536040356 804060534 1206090801 1608121068 2412181602 4824363204