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825830325 = 3252109151223
BaseRepresentation
bin110001001110010…
…010101110110101
32010112221112020100
4301032102232311
53142403032300
6213540224313
726315304405
oct6116225665
92115845210
10825830325
11394183601
121b069b099
13102127cc8
147b970805
154c77a700
hex31392bb5

825830325 has 72 divisors (see below), whose sum is σ = 1509347840. Its totient is φ = 431568000.

The previous prime is 825830321. The next prime is 825830347. The reversal of 825830325 is 523038528.

It is not a de Polignac number, because 825830325 - 22 = 825830321 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 825830325.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (825830321) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3703164 + ... + 3703386.

Almost surely, 2825830325 is an apocalyptic number.

It is an amenable number.

825830325 is a deficient number, since it is larger than the sum of its proper divisors (683517515).

825830325 is a wasteful number, since it uses less digits than its factorization.

825830325 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 499 (or 491 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 825830325 is about 28737.2637006379. The cubic root of 825830325 is about 938.2032696407.

It can be divided in two parts, 8258 and 30325, that added together give a palindrome (38583).

The spelling of 825830325 in words is "eight hundred twenty-five million, eight hundred thirty thousand, three hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 109 151 223 225 327 453 545 669 755 981 1115 1359 1635 2007 2265 2725 3345 3775 4905 5575 6795 8175 10035 11325 16459 16725 24307 24525 33673 33975 49377 50175 72921 82295 101019 121535 148131 168365 218763 246885 303057 364605 411475 505095 607675 740655 841825 1093815 1234425 1515285 1823025 2525475 3670357 3703275 5469075 7576425 11011071 18351785 33033213 55055355 91758925 165166065 275276775 825830325