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2625230304 = 2533171923409
BaseRepresentation
bin1001110001111001…
…1101010111100000
320202221211111222000
42130132131113200
520334024332204
61112255444000
7122025042444
oct23436352740
96687744860
102625230304
111127968424
12613226600
1332ab67c18
141ac92c824
15105716039
hex9c79d5e0

2625230304 has 384 divisors, whose sum is σ = 8926848000. Its totient is φ = 744505344.

The previous prime is 2625230303. The next prime is 2625230317. The reversal of 2625230304 is 4030325262.

2625230304 is a `hidden beast` number, since 2 + 625 + 2 + 3 + 0 + 30 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 6.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2625230303) 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 63 ways as a sum of consecutive naturals, for example, 6418452 + ... + 6418860.

It is an arithmetic number, because the mean of its divisors is an integer number (23247000).

Almost surely, 22625230304 is an apocalyptic number.

2625230304 is a gapful number since it is divisible by the number (24) 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 2625230304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4463424000).

2625230304 is an abundant number, since it is smaller than the sum of its proper divisors (6301617696).

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

2625230304 is a wasteful number, since it uses less digits than its factorization.

2625230304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 487 (or 473 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 2625230304 is about 51237.0013174073. The cubic root of 2625230304 is about 1379.5024293139.

Adding to 2625230304 its reverse (4030325262), we get a palindrome (6655555566).

The spelling of 2625230304 in words is "two billion, six hundred twenty-five million, two hundred thirty thousand, three hundred four".