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825542442 = 2351698647
BaseRepresentation
bin110001001101001…
…100011100101010
32010112101220100000
4301031030130222
53142314324232
6213530123430
726312665164
oct6115143452
92115356300
10825542442
11393aa728a
121b0580576
13102056c6a
147b8d7934
154c72027c
hex3134c72a

825542442 has 24 divisors (see below), whose sum is σ = 1854923616. Its totient is φ = 275180652.

The previous prime is 825542429. The next prime is 825542447. The reversal of 825542442 is 244245528.

825542442 is a `hidden beast` number, since 82 + 554 + 24 + 4 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 825542397 and 825542406.

It is not an unprimeable number, because it can be changed into a prime (825542447) 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, 848838 + ... + 849809.

It is an arithmetic number, because the mean of its divisors is an integer number (77288484).

Almost surely, 2825542442 is an apocalyptic number.

825542442 is an abundant number, since it is smaller than the sum of its proper divisors (1029381174).

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

825542442 is a wasteful number, since it uses less digits than its factorization.

825542442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1698664 (or 1698652 counting only the distinct ones).

The product of its digits is 102400, while the sum is 36.

The square root of 825542442 is about 28732.2543842282. The cubic root of 825542442 is about 938.0942383000.

The spelling of 825542442 in words is "eight hundred twenty-five million, five hundred forty-two thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 18 27 54 81 162 243 486 1698647 3397294 5095941 10191882 15287823 30575646 45863469 91726938 137590407 275180814 412771221 825542442