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825823401 = 31322956167
BaseRepresentation
bin110001001110010…
…001000010101001
32010112221011201220
4301032101002221
53142402322101
6213540132253
726315245254
oct6116210251
92115834656
10825823401
11394179387
121b0697089
13102124b00
147b96c09b
154c778636
hex313910a9

825823401 has 24 divisors (see below), whose sum is σ = 1233449280. Its totient is φ = 490666176.

The previous prime is 825823367. The next prime is 825823423. The reversal of 825823401 is 104328528.

It is not a de Polignac number, because 825823401 - 26 = 825823337 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (825823001) 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, 13381 + ... + 42786.

It is an arithmetic number, because the mean of its divisors is an integer number (51393720).

Almost surely, 2825823401 is an apocalyptic number.

It is an amenable number.

825823401 is a deficient number, since it is larger than the sum of its proper divisors (407625879).

825823401 is a wasteful number, since it uses less digits than its factorization.

825823401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56225 (or 56212 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The square root of 825823401 is about 28737.1432296253. The cubic root of 825823401 is about 938.2006475776.

The spelling of 825823401 in words is "eight hundred twenty-five million, eight hundred twenty-three thousand, four hundred one".

Divisors: 1 3 13 29 39 87 169 377 507 1131 4901 14703 56167 168501 730171 1628843 2190513 4886529 9492223 21174959 28476669 63524877 275274467 825823401