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2568329380 = 225417334273
BaseRepresentation
bin1001100100010101…
…1001100010100100
320121222202122120101
42121011121202210
520224443020010
61102504113444
7120434303521
oct23105314244
96558678511
102568329380
1110a8833971
125b8165884
1331c134736
141a515a148
1510072673a
hex991598a4

2568329380 has 48 divisors (see below), whose sum is σ = 5533872624. Its totient is φ = 1000673280.

The previous prime is 2568329377. The next prime is 2568329419. The reversal of 2568329380 is 839238652.

It can be written as a sum of positive squares in 8 ways, for example, as 59721984 + 2508607396 = 7728^2 + 50086^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2568329380.

It is an unprimeable number.

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, 598924 + ... + 603196.

It is an arithmetic number, because the mean of its divisors is an integer number (115289013).

Almost surely, 22568329380 is an apocalyptic number.

2568329380 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 2568329380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2766936312).

2568329380 is an abundant number, since it is smaller than the sum of its proper divisors (2965543244).

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

2568329380 is a wasteful number, since it uses less digits than its factorization.

2568329380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5056 (or 5054 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 46.

The square root of 2568329380 is about 50678.6876309953. The cubic root of 2568329380 is about 1369.4628010869.

The spelling of 2568329380 in words is "two billion, five hundred sixty-eight million, three hundred twenty-nine thousand, three hundred eighty".

Divisors: 1 2 4 5 10 20 41 82 164 205 410 733 820 1466 2932 3665 4273 7330 8546 14660 17092 21365 30053 42730 60106 85460 120212 150265 175193 300530 350386 601060 700772 875965 1751930 3132109 3503860 6264218 12528436 15660545 31321090 62642180 128416469 256832938 513665876 642082345 1284164690 2568329380