Search a number
-
+
53280000 = 28325437
BaseRepresentation
bin1100101100111…
…1110100000000
310201020220102100
43023033310000
5102114430000
65141550400
71214605164
oct313176400
9121226370
1053280000
1128091064
1215a15400
13b066337
14710cca4
154a26a00
hex32cfd00

53280000 has 270 divisors, whose sum is σ = 197150954. Its totient is φ = 13824000.

The previous prime is 53279981. The next prime is 53280001. The reversal of 53280000 is 8235.

It can be written as a sum of positive squares in 5 ways, for example, as 10036224 + 43243776 = 3168^2 + 6576^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53280001) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 1439982 + ... + 1440018.

Almost surely, 253280000 is an apocalyptic number.

53280000 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 53280000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98575477).

53280000 is an abundant number, since it is smaller than the sum of its proper divisors (143870954).

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

53280000 is an equidigital number, since it uses as much as digits as its factorization.

53280000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 53280000 is about 7299.3150363579. The cubic root of 53280000 is about 376.2888982348.

Adding to 53280000 its reverse (8235), we get a palindrome (53288235).

The spelling of 53280000 in words is "fifty-three million, two hundred eighty thousand".