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825839685 = 335111732713
BaseRepresentation
bin110001001110010…
…101000001000101
32010112222000002000
4301032111001011
53142403332220
6213540335513
726315343606
oct6116250105
92115860060
10825839685
1139418a640
121b06a4599
1310212c348
147b973dad
154c77d390
hex31395045

825839685 has 64 divisors (see below), whose sum is σ = 1695893760. Its totient is φ = 376842240.

The previous prime is 825839681. The next prime is 825839701. The reversal of 825839685 is 586938528.

It is not a de Polignac number, because 825839685 - 22 = 825839681 is a prime.

It is a super-2 number, since 2×8258396852 = 1364022370641798450, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (825839681) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8889 + ... + 41601.

It is an arithmetic number, because the mean of its divisors is an integer number (26498340).

Almost surely, 2825839685 is an apocalyptic number.

825839685 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

It is an amenable number.

825839685 is an abundant number, since it is smaller than the sum of its proper divisors (870054075).

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

825839685 is a wasteful number, since it uses less digits than its factorization.

825839685 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32755 (or 32749 counting only the distinct ones).

The product of its digits is 4147200, while the sum is 54.

The square root of 825839685 is about 28737.4265549301. The cubic root of 825839685 is about 938.2068141740.

The spelling of 825839685 in words is "eight hundred twenty-five million, eight hundred thirty-nine thousand, six hundred eighty-five".

Divisors: 1 3 5 9 11 15 17 27 33 45 51 55 85 99 135 153 165 187 255 297 459 495 561 765 935 1485 1683 2295 2805 5049 8415 25245 32713 98139 163565 294417 359843 490695 556121 883251 1079529 1472085 1668363 1799215 2780605 3238587 4416255 5005089 5397645 6117331 8341815 9715761 15015267 16192935 18351993 25025445 30586655 48578805 55055979 75076335 91759965 165167937 275279895 825839685