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825408696 = 23379750651
BaseRepresentation
bin110001001100101…
…011110010111000
32010112011002212110
4301030223302320
53142301034241
6213523212320
726311600230
oct6114536270
92115132773
10825408696
11393a15852
121b05170a0
1310200b118
147b8a0cc0
154c6e5816
hex3132bcb8

825408696 has 64 divisors (see below), whose sum is σ = 2382670080. Its totient is φ = 233395200.

The previous prime is 825408677. The next prime is 825408707. The reversal of 825408696 is 696804528.

It is a happy number.

825408696 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9030 + ... + 41621.

It is an arithmetic number, because the mean of its divisors is an integer number (37229220).

Almost surely, 2825408696 is an apocalyptic number.

It is an amenable number.

825408696 is an abundant number, since it is smaller than the sum of its proper divisors (1557261384).

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

825408696 is a wasteful number, since it uses less digits than its factorization.

825408696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50764 (or 50760 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 48.

The square root of 825408696 is about 28729.9268359667. The cubic root of 825408696 is about 938.0435753977.

The spelling of 825408696 in words is "eight hundred twenty-five million, four hundred eight thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 97 168 194 291 388 582 679 776 1164 1358 2037 2328 2716 4074 5432 8148 16296 50651 101302 151953 202604 303906 354557 405208 607812 709114 1063671 1215624 1418228 2127342 2836456 4254684 4913147 8509368 9826294 14739441 19652588 29478882 34392029 39305176 58957764 68784058 103176087 117915528 137568116 206352174 275136232 412704348 825408696