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825201396 = 223231637247
BaseRepresentation
bin110001001011111…
…001001011110100
32010111202120111200
4301023321023310
53142222421041
6213514532500
726310044655
oct6113711364
92114676450
10825201396
11393894028
121b0437130
13101c67966
147b84952c
154c6a41b6
hex312f92f4

825201396 has 36 divisors (see below), whose sum is σ = 2086873152. Its totient is φ = 274942224.

The previous prime is 825201389. The next prime is 825201397. The reversal of 825201396 is 693102528.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 825201396.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (825201397) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 110245 + ... + 117491.

Almost surely, 2825201396 is an apocalyptic number.

It is an amenable number.

825201396 is an abundant number, since it is smaller than the sum of its proper divisors (1261671756).

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

825201396 is a wasteful number, since it uses less digits than its factorization.

825201396 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10420 (or 10415 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 825201396 is about 28726.3188731170. The cubic root of 825201396 is about 937.9650394694.

The spelling of 825201396 in words is "eight hundred twenty-five million, two hundred one thousand, three hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 36 3163 6326 7247 9489 12652 14494 18978 21741 28467 28988 37956 43482 56934 65223 86964 113868 130446 260892 22922261 45844522 68766783 91689044 137533566 206300349 275067132 412600698 825201396