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832085505 = 32518490789
BaseRepresentation
bin110001100110001…
…001111000000001
32010222201022201200
4301212021320001
53201003214010
6214322251413
726422416156
oct6146117001
92128638650
10832085505
11397766179
121b27b6b69
131035081b4
147c71c22d
154d0b3cc0
hex31989e01

832085505 has 12 divisors (see below), whose sum is σ = 1442281620. Its totient is φ = 443778912.

The previous prime is 832085503. The next prime is 832085623. The reversal of 832085505 is 505580238.

832085505 is a `hidden beast` number, since 83 + 20 + 8 + 550 + 5 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 208484721 + 623600784 = 14439^2 + 24972^2 .

It is not a de Polignac number, because 832085505 - 21 = 832085503 is a prime.

It is a super-2 number, since 2×8320855052 = 1384732575262210050, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 832085505.

It is not an unprimeable number, because it can be changed into a prime (832085503) 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, 9245350 + ... + 9245439.

It is an arithmetic number, because the mean of its divisors is an integer number (120190135).

Almost surely, 2832085505 is an apocalyptic number.

It is an amenable number.

832085505 is a deficient number, since it is larger than the sum of its proper divisors (610196115).

832085505 is a wasteful number, since it uses less digits than its factorization.

832085505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18490800 (or 18490797 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

The square root of 832085505 is about 28845.8923418916. The cubic root of 832085505 is about 940.5660936757.

The spelling of 832085505 in words is "eight hundred thirty-two million, eighty-five thousand, five hundred five".

Divisors: 1 3 5 9 15 45 18490789 55472367 92453945 166417101 277361835 832085505