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825645820 = 225833531409
BaseRepresentation
bin110001001101100…
…101101011111100
32010112121011010211
4301031211223330
53142331131240
6213532242204
726313605446
oct6115455374
92115534124
10825645820
11394067a1a
121b0610364
1310209202c
147b923496
154c740bea
hex31365afc

825645820 has 48 divisors (see below), whose sum is σ = 1760965920. Its totient is φ = 325124096.

The previous prime is 825645809. The next prime is 825645839. The reversal of 825645820 is 28546528.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 585276 + ... + 586684.

It is an arithmetic number, because the mean of its divisors is an integer number (36686790).

Almost surely, 2825645820 is an apocalyptic number.

It is an amenable number.

825645820 is an abundant number, since it is smaller than the sum of its proper divisors (935320100).

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

825645820 is a wasteful number, since it uses less digits than its factorization.

825645820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1854 (or 1852 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 40.

The square root of 825645820 is about 28734.0533165789. The cubic root of 825645820 is about 938.1333940734.

The spelling of 825645820 in words is "eight hundred twenty-five million, six hundred forty-five thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 20 83 166 332 353 415 706 830 1409 1412 1660 1765 2818 3530 5636 7045 7060 14090 28180 29299 58598 116947 117196 146495 233894 292990 467788 497377 584735 585980 994754 1169470 1989508 2338940 2486885 4973770 9947540 41282291 82564582 165129164 206411455 412822910 825645820