[go: up one dir, main page]

Search a number
-
+
52304500 = 2253731433
BaseRepresentation
bin1100011110000…
…1101001110100
310122102100021201
43013201221310
5101342221000
65105022244
71203403153
oct307415164
9118370251
1052304500
1127585166
1215624984
13aab4311
146d3759a
1548d296a
hex31e1a74

52304500 has 48 divisors (see below), whose sum is σ = 115878672. Its totient is φ = 20620800.

The previous prime is 52304453. The next prime is 52304509. The reversal of 52304500 is 540325.

It is a happy number.

52304500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 7628644 + 44675856 = 2762^2 + 6684^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52304509) 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 15 ways as a sum of consecutive naturals, for example, 35784 + ... + 37216.

It is an arithmetic number, because the mean of its divisors is an integer number (2414139).

Almost surely, 252304500 is an apocalyptic number.

52304500 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52304500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57939336).

52304500 is an abundant number, since it is smaller than the sum of its proper divisors (63574172).

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

52304500 is a wasteful number, since it uses less digits than its factorization.

52304500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1525 (or 1513 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 19.

The square root of 52304500 is about 7232.1850086955. The cubic root of 52304500 is about 373.9782556681.

Adding to 52304500 its reverse (540325), we get a palindrome (52844825).

It can be divided in two parts, 5230 and 4500, that added together give a triangular number (9730 = T139).

The spelling of 52304500 in words is "fifty-two million, three hundred four thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 73 100 125 146 250 292 365 500 730 1433 1460 1825 2866 3650 5732 7165 7300 9125 14330 18250 28660 35825 36500 71650 104609 143300 179125 209218 358250 418436 523045 716500 1046090 2092180 2615225 5230450 10460900 13076125 26152250 52304500