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825436073 = 71116976317
BaseRepresentation
bin110001001100110…
…010011110101001
32010112012111102102
4301030302132221
53142302423243
6213523543145
726312043110
oct6114623651
92115174372
10825436073
11393a34380
121b052aab5
1310201a717
147b8aac77
154c6ed9b8
hex313327a9

825436073 has 16 divisors (see below), whose sum is σ = 1029884544. Its totient is φ = 642716160.

The previous prime is 825436069. The next prime is 825436091. The reversal of 825436073 is 370634528.

825436073 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 825436073 - 22 = 825436069 is a prime.

It is a super-2 number, since 2×8254360732 = 1362689421219322658, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (825436013) 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, 127511 + ... + 133827.

It is an arithmetic number, because the mean of its divisors is an integer number (64367784).

Almost surely, 2825436073 is an apocalyptic number.

It is an amenable number.

825436073 is a deficient number, since it is larger than the sum of its proper divisors (204448471).

825436073 is a wasteful number, since it uses less digits than its factorization.

825436073 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8032.

The product of its (nonzero) digits is 120960, while the sum is 38.

The square root of 825436073 is about 28730.4032864142. The cubic root of 825436073 is about 938.0539462339.

The spelling of 825436073 in words is "eight hundred twenty-five million, four hundred thirty-six thousand, seventy-three".

Divisors: 1 7 11 77 1697 6317 11879 18667 44219 69487 130669 486409 10719949 75039643 117919439 825436073