Search a number
-
+
2530528000 = 28537111379
BaseRepresentation
bin1001011011010100…
…1100101100000000
320112100122010211021
42112311030230000
520140303344000
61055033555224
7116465063440
oct22665145400
96470563737
102530528000
111089465160
125a7575b14
1331435a860
141a011a120
15ec25b11a
hex96d4cb00

2530528000 has 576 divisors, whose sum is σ = 8571064320. Its totient is φ = 718848000.

The previous prime is 2530527997. The next prime is 2530528001. The reversal of 2530528000 is 8250352.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (2530528001) 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 63 ways as a sum of consecutive naturals, for example, 32031961 + ... + 32032039.

It is an arithmetic number, because the mean of its divisors is an integer number (14880320).

Almost surely, 22530528000 is an apocalyptic number.

2530528000 is a gapful number since it is divisible by the number (20) 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 2530528000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4285532160).

2530528000 is an abundant number, since it is smaller than the sum of its proper divisors (6040536320).

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

2530528000 is a wasteful number, since it uses less digits than its factorization.

2530528000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

The square root of 2530528000 is about 50304.3536883240. The cubic root of 2530528000 is about 1362.7108559005.

Adding to 2530528000 its reverse (8250352), we get a palindrome (2538778352).

The spelling of 2530528000 in words is "two billion, five hundred thirty million, five hundred twenty-eight thousand".