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25327328 = 2513107569
BaseRepresentation
bin110000010011…
…1011011100000
31202122202120012
41200213123200
522440433303
62302504052
7425164415
oct140473340
952582505
1025327328
1113329884
128595028
13532a1b0
14351410c
1523545d8
hex18276e0

25327328 has 48 divisors (see below), whose sum is σ = 54295920. Its totient is φ = 11559936.

The previous prime is 25327319. The next prime is 25327339. The reversal of 25327328 is 82372352.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 25327294 and 25327303.

It is a congruent number.

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, 44228 + ... + 44796.

It is an arithmetic number, because the mean of its divisors is an integer number (1131165).

Almost surely, 225327328 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 25327328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27147960).

25327328 is an abundant number, since it is smaller than the sum of its proper divisors (28968592).

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

25327328 is a wasteful number, since it uses less digits than its factorization.

25327328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 699 (or 691 counting only the distinct ones).

The product of its digits is 20160, while the sum is 32.

The square root of 25327328 is about 5032.6263521148. The cubic root of 25327328 is about 293.6723948911.

The spelling of 25327328 in words is "twenty-five million, three hundred twenty-seven thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 13 16 26 32 52 104 107 208 214 416 428 569 856 1138 1391 1712 2276 2782 3424 4552 5564 7397 9104 11128 14794 18208 22256 29588 44512 59176 60883 118352 121766 236704 243532 487064 791479 974128 1582958 1948256 3165916 6331832 12663664 25327328