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825083301 = 37231708247
BaseRepresentation
bin110001001011011…
…100010110100101
32010111112120111210
4301023130112211
53142210131201
6213512222033
726306043450
oct6113342645
92114476453
10825083301
11393813329
121b039a919
13101c25c93
147b818497
154c67e1d6
hex312dc5a5

825083301 has 16 divisors (see below), whose sum is σ = 1311934464. Its totient is φ = 450976944.

The previous prime is 825083297. The next prime is 825083323. The reversal of 825083301 is 103380528.

It is a happy number.

825083301 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 825083301 - 22 = 825083297 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (825083381) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 853641 + ... + 854606.

It is an arithmetic number, because the mean of its divisors is an integer number (81995904).

Almost surely, 2825083301 is an apocalyptic number.

It is an amenable number.

825083301 is a deficient number, since it is larger than the sum of its proper divisors (486851163).

825083301 is a wasteful number, since it uses less digits than its factorization.

825083301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1708280.

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 825083301 is about 28724.2632803698. The cubic root of 825083301 is about 937.9202931136.

The spelling of 825083301 in words is "eight hundred twenty-five million, eighty-three thousand, three hundred one".

Divisors: 1 3 7 21 23 69 161 483 1708247 5124741 11957729 35873187 39289681 117869043 275027767 825083301