Search a number
-
+
2325627968 = 261910911753
BaseRepresentation
bin1000101010011110…
…0100010001000000
320000002002010211012
42022213210101000
514230330043333
61022434140052
7111426340316
oct21247442100
96002063735
102325627968
11a93835794
1254aa21628
132b0a79131
14180c200b6
15d9284e48
hex8a9e4440

2325627968 has 56 divisors (see below), whose sum is σ = 4865034720. Its totient is φ = 1099975680.

The previous prime is 2325627947. The next prime is 2325627973. The reversal of 2325627968 is 8697265232.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1325780 + ... + 1327532.

It is an arithmetic number, because the mean of its divisors is an integer number (86875620).

Almost surely, 22325627968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2325627968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2432517360).

2325627968 is an abundant number, since it is smaller than the sum of its proper divisors (2539406752).

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

2325627968 is a wasteful number, since it uses less digits than its factorization.

2325627968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2875 (or 2865 counting only the distinct ones).

The product of its digits is 2177280, while the sum is 50.

The square root of 2325627968 is about 48224.7650901484. The cubic root of 2325627968 is about 1324.8907882930.

The spelling of 2325627968 in words is "two billion, three hundred twenty-five million, six hundred twenty-seven thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 16 19 32 38 64 76 152 304 608 1091 1216 1753 2182 3506 4364 7012 8728 14024 17456 20729 28048 33307 34912 41458 56096 66614 69824 82916 112192 133228 165832 266456 331664 532912 663328 1065824 1326656 1912523 2131648 3825046 7650092 15300184 30600368 36337937 61200736 72675874 122401472 145351748 290703496 581406992 1162813984 2325627968