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825709388 = 22731035843
BaseRepresentation
bin110001001101110…
…101001101001100
32010112201101100012
4301031311031030
53142340200023
6213533452352
726314262000
oct6115651514
92115641305
10825709388
11394100759
121b06410b8
131020b4c4a
147b93c700
154c754978
hex3137534c

825709388 has 48 divisors (see below), whose sum is σ = 1701772800. Its totient is φ = 350379792.

The previous prime is 825709331. The next prime is 825709421. The reversal of 825709388 is 883907528.

825709388 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 138395 + ... + 144237.

It is an arithmetic number, because the mean of its divisors is an integer number (35453600).

Almost surely, 2825709388 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 825709388, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (850886400).

825709388 is an abundant number, since it is smaller than the sum of its proper divisors (876063412).

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

825709388 is a wasteful number, since it uses less digits than its factorization.

825709388 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5971 (or 5955 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 50.

The square root of 825709388 is about 28735.1594392653. The cubic root of 825709388 is about 938.1574696644.

The spelling of 825709388 in words is "eight hundred twenty-five million, seven hundred nine thousand, three hundred eighty-eight".

Divisors: 1 2 4 7 14 28 49 98 103 196 206 343 412 686 721 1372 1442 2884 5047 5843 10094 11686 20188 23372 35329 40901 70658 81802 141316 163604 286307 572614 601829 1145228 1203658 2004149 2407316 4008298 4212803 8016596 8425606 16851212 29489621 58979242 117958484 206427347 412854694 825709388