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2325828672 = 26325097933
BaseRepresentation
bin1000101010100001…
…0101010001000000
320000002110100010200
42022220111101000
514230403004142
61022442325200
7111431134416
oct21250252100
96002410120
102325828672
11a93962562
1254aab9800
132b0b195ab
14180c732b6
15d92c464c
hex8aa15440

2325828672 has 84 divisors (see below), whose sum is σ = 6680507340. Its totient is φ = 773655552.

The previous prime is 2325828671. The next prime is 2325828709. The reversal of 2325828672 is 2768285232.

It is a happy number.

2325828672 is a `hidden beast` number, since 2 + 3 + 2 + 582 + 8 + 67 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1297728576 + 1028100096 = 36024^2 + 32064^2 .

It is a super-2 number, since 2×23258286722 = 10818958022994567168, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2325828671) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 289218 + ... + 297150.

Almost surely, 22325828672 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 2325828672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3340253670).

2325828672 is an abundant number, since it is smaller than the sum of its proper divisors (4354678668).

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

2325828672 is a wasteful number, since it uses less digits than its factorization.

2325828672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8460 (or 8447 counting only the distinct ones).

The product of its digits is 645120, while the sum is 45.

The square root of 2325828672 is about 48226.8459677802. The cubic root of 2325828672 is about 1324.9289003263.

The spelling of 2325828672 in words is "two billion, three hundred twenty-five million, eight hundred twenty-eight thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 509 576 1018 1527 2036 3054 4072 4581 6108 7933 8144 9162 12216 15866 16288 18324 23799 24432 31732 32576 36648 47598 48864 63464 71397 73296 95196 97728 126928 142794 146592 190392 253856 285588 293184 380784 507712 571176 761568 1142352 1523136 2284704 4037897 4569408 8075794 12113691 16151588 24227382 32303176 36341073 48454764 64606352 72682146 96909528 129212704 145364292 193819056 258425408 290728584 387638112 581457168 775276224 1162914336 2325828672