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825630449 = 72175318701
BaseRepresentation
bin110001001101100…
…001111011110001
32010112120101001112
4301031201323301
53142330133244
6213532043105
726313512600
oct6115417361
92115511045
10825630449
11394057416
121b0603495
13102088037
147b91ba37
154c73b39e
hex31361ef1

825630449 has 24 divisors (see below), whose sum is σ = 1036165608. Its totient is φ = 653452800.

The previous prime is 825630439. The next prime is 825630457. The reversal of 825630449 is 944036528.

It can be written as a sum of positive squares in 4 ways, for example, as 173185600 + 652444849 = 13160^2 + 25543^2 .

It is not a de Polignac number, because 825630449 - 28 = 825630193 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (825630439) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34799 + ... + 53499.

It is an arithmetic number, because the mean of its divisors is an integer number (43173567).

Almost surely, 2825630449 is an apocalyptic number.

It is an amenable number.

825630449 is a deficient number, since it is larger than the sum of its proper divisors (210535159).

825630449 is a wasteful number, since it uses less digits than its factorization.

825630449 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18785 (or 18778 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 41.

The square root of 825630449 is about 28733.7858452380. The cubic root of 825630449 is about 938.1275723124.

The spelling of 825630449 in words is "eight hundred twenty-five million, six hundred thirty thousand, four hundred forty-nine".

Divisors: 1 7 17 49 53 119 371 833 901 2597 6307 18701 44149 130907 317917 916349 991153 2225419 6938071 15577933 16849601 48566497 117947207 825630449