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825566016 = 26311390893
BaseRepresentation
bin110001001101010…
…010001101000000
32010112110002200010
4301031102031000
53142321103031
6213530424520
726313124002
oct6115221500
92115402603
10825566016
11394012a70
121b0592140
13102064902
147b902372
154c727246
hex31352340

825566016 has 56 divisors (see below), whose sum is σ = 2382889824. Its totient is φ = 250170880.

The previous prime is 825566011. The next prime is 825566023. The reversal of 825566016 is 610665528.

It is a super-2 number, since 2×8255660162 = 1363118493548224512, which contains 22 as substring.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (825566011) by changing a digit.

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, 193335 + ... + 197558.

It is an arithmetic number, because the mean of its divisors is an integer number (42551604).

Almost surely, 2825566016 is an apocalyptic number.

It is an amenable number.

825566016 is an abundant number, since it is smaller than the sum of its proper divisors (1557323808).

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

825566016 is a wasteful number, since it uses less digits than its factorization.

825566016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390919 (or 390909 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 39.

The square root of 825566016 is about 28732.6646171217. The cubic root of 825566016 is about 938.1031675494.

The spelling of 825566016 in words is "eight hundred twenty-five million, five hundred sixty-six thousand, sixteen".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 132 176 192 264 352 528 704 1056 2112 390893 781786 1172679 1563572 2345358 3127144 4299823 4690716 6254288 8599646 9381432 12508576 12899469 17199292 18762864 25017152 25798938 34398584 37525728 51597876 68797168 75051456 103195752 137594336 206391504 275188672 412783008 825566016