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2325385728 = 29321732917
BaseRepresentation
bin1000101010011010…
…1001001000000000
320000001121211112100
42022212221020000
514230244320403
61022425030400
7111424311141
oct21246511000
96001554470
102325385728
11a9368a796
1254a925400
132b09c2ab3
14180b99ac8
15d92382a3
hex8a9a9200

2325385728 has 120 divisors (see below), whose sum is σ = 6752327868. Its totient is φ = 770383872.

The previous prime is 2325385723. The next prime is 2325385729. The reversal of 2325385728 is 8275835232.

2325385728 is a `hidden beast` number, since 23 + 2 + 53 + 8 + 572 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1552990464 + 772395264 = 39408^2 + 27792^2 .

It is not an unprimeable number, because it can be changed into a prime (2325385723) 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, 795726 + ... + 798642.

Almost surely, 22325385728 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 2325385728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3376163934).

2325385728 is an abundant number, since it is smaller than the sum of its proper divisors (4426942140).

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

2325385728 is a wasteful number, since it uses less digits than its factorization.

2325385728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3114 (or 3095 counting only the distinct ones).

The product of its digits is 806400, while the sum is 45.

The square root of 2325385728 is about 48222.2534521148. The cubic root of 2325385728 is about 1324.8447859956.

The spelling of 2325385728 in words is "two billion, three hundred twenty-five million, three hundred eighty-five thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 173 192 256 288 346 384 512 519 576 692 768 1038 1152 1384 1536 1557 2076 2304 2768 2917 3114 4152 4608 5536 5834 6228 8304 8751 11072 11668 12456 16608 17502 22144 23336 24912 26253 33216 35004 44288 46672 49824 52506 66432 70008 88576 93344 99648 105012 132864 140016 186688 199296 210024 265728 280032 373376 398592 420048 504641 560064 746752 797184 840096 1009282 1120128 1493504 1513923 1680192 2018564 2240256 3027846 3360384 4037128 4480512 4541769 6055692 6720768 8074256 9083538 12111384 13441536 16148512 18167076 24222768 32297024 36334152 48445536 64594048 72668304 96891072 129188096 145336608 193782144 258376192 290673216 387564288 581346432 775128576 1162692864 2325385728