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825028445 = 51741236737
BaseRepresentation
bin110001001011001…
…110111101011101
32010111102210021002
4301023032331131
53142201402240
6213511120045
726305424513
oct6113167535
92114383232
10825028445
1139378609a
121b0373025
13101c07017
147b8024b3
154c66cd15
hex312cef5d

825028445 has 16 divisors (see below), whose sum is σ = 1073843568. Its totient is φ = 606044160.

The previous prime is 825028441. The next prime is 825028471. The reversal of 825028445 is 544820528.

It can be written as a sum of positive squares in 8 ways, for example, as 44328964 + 780699481 = 6658^2 + 27941^2 .

It is not a de Polignac number, because 825028445 - 22 = 825028441 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 825028399 and 825028408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (825028441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 114884 + ... + 121853.

It is an arithmetic number, because the mean of its divisors is an integer number (67115223).

Almost surely, 2825028445 is an apocalyptic number.

825028445 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

It is an amenable number.

825028445 is a deficient number, since it is larger than the sum of its proper divisors (248815123).

825028445 is a wasteful number, since it uses less digits than its factorization.

825028445 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236800.

The product of its (nonzero) digits is 102400, while the sum is 38.

The square root of 825028445 is about 28723.3083923144. The cubic root of 825028445 is about 937.8995066484.

The spelling of 825028445 in words is "eight hundred twenty-five million, twenty-eight thousand, four hundred forty-five".

Divisors: 1 5 17 41 85 205 697 3485 236737 1183685 4024529 9706217 20122645 48531085 165005689 825028445