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825803028 = 2232153114983
BaseRepresentation
bin110001001110001…
…100000100010100
32010112220010210100
4301032030010110
53142401144103
6213535454100
726315132001
oct6116140424
92115803710
10825803028
11394165046
121b0687330
1310211875b
147b9648a8
154c7725a3
hex3138c114

825803028 has 36 divisors (see below), whose sum is σ = 2088949408. Its totient is φ = 275069520.

The previous prime is 825803021. The next prime is 825803029. The reversal of 825803028 is 820308528.

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 junction number, because it is equal to n+sod(n) for n = 825802983 and 825803001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (825803021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 47625 + ... + 62607.

Almost surely, 2825803028 is an apocalyptic number.

It is an amenable number.

825803028 is an abundant number, since it is smaller than the sum of its proper divisors (1263146380).

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

825803028 is a wasteful number, since it uses less digits than its factorization.

825803028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16524 (or 16519 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 825803028 is about 28736.7887558788. The cubic root of 825803028 is about 938.1929324015.

The spelling of 825803028 in words is "eight hundred twenty-five million, eight hundred three thousand, twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 1531 3062 4593 6124 9186 13779 14983 18372 27558 29966 44949 55116 59932 89898 134847 179796 269694 539388 22938973 45877946 68816919 91755892 137633838 206450757 275267676 412901514 825803028