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830825253 = 3292313917
BaseRepresentation
bin110001100001010…
…110001100100101
32010220100021222200
4301201112030211
53200142402003
6214235245113
726405620026
oct6141261445
92126307880
10830825253
11396a85345
121b22a9799
1310318669b
147c4b0c4d
154ce156a3
hex31856325

830825253 has 6 divisors (see below), whose sum is σ = 1200080934. Its totient is φ = 553883496.

The previous prime is 830825249. The next prime is 830825329. The reversal of 830825253 is 352528038.

It can be written as a sum of positive squares in only one way, i.e., 566535204 + 264290049 = 23802^2 + 16257^2 .

It is not a de Polignac number, because 830825253 - 22 = 830825249 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (830825453) 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 5 ways as a sum of consecutive naturals, for example, 46156950 + ... + 46156967.

It is an arithmetic number, because the mean of its divisors is an integer number (200013489).

Almost surely, 2830825253 is an apocalyptic number.

It is an amenable number.

830825253 is a deficient number, since it is larger than the sum of its proper divisors (369255681).

830825253 is a wasteful number, since it uses less digits than its factorization.

830825253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92313923 (or 92313920 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 830825253 is about 28824.0394983077. The cubic root of 830825253 is about 940.0910025824.

The spelling of 830825253 in words is "eight hundred thirty million, eight hundred twenty-five thousand, two hundred fifty-three".

Divisors: 1 3 9 92313917 276941751 830825253