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825493401 = 32211434699
BaseRepresentation
bin110001001101000…
…000011110011001
32010112022102001200
4301031000132121
53142311242101
6213525104413
726312402205
oct6115003631
92115272050
10825493401
11393a73457
121b0558109
1310203a845
147b8c3b05
154c710986
hex31340799

825493401 has 12 divisors (see below), whose sum is σ = 1198033200. Its totient is φ = 547719480.

The previous prime is 825493373. The next prime is 825493411. The reversal of 825493401 is 104394528.

825493401 is a `hidden beast` number, since 82 + 549 + 34 + 0 + 1 = 666.

It is not a de Polignac number, because 825493401 - 211 = 825491353 is a prime.

It is not an unprimeable number, because it can be changed into a prime (825493411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 215451 + ... + 219248.

It is an arithmetic number, because the mean of its divisors is an integer number (99836100).

Almost surely, 2825493401 is an apocalyptic number.

It is an amenable number.

825493401 is a deficient number, since it is larger than the sum of its proper divisors (372539799).

825493401 is a wasteful number, since it uses less digits than its factorization.

825493401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434916 (or 434913 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 825493401 is about 28731.4009578371. The cubic root of 825493401 is about 938.0756622348.

The spelling of 825493401 in words is "eight hundred twenty-five million, four hundred ninety-three thousand, four hundred one".

Divisors: 1 3 9 211 633 1899 434699 1304097 3912291 91721489 275164467 825493401