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823252045 = 571119112543
BaseRepresentation
bin110001000100011…
…101010001001101
32010101002112111111
4301010131101031
53141223031140
6213405052021
726254345510
oct6104352115
92111075444
10823252045
113927824a0
121ab857011
131017345b5
147b49cd77
154c41b7ea
hex3111d44d

823252045 has 32 divisors (see below), whose sum is σ = 1296506880. Its totient is φ = 486181440.

The previous prime is 823252037. The next prime is 823252057. The reversal of 823252045 is 540252328.

It is not a de Polignac number, because 823252045 - 23 = 823252037 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 823251998 and 823252016.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 48957 + ... + 63586.

It is an arithmetic number, because the mean of its divisors is an integer number (40515840).

Almost surely, 2823252045 is an apocalyptic number.

It is an amenable number.

823252045 is a deficient number, since it is larger than the sum of its proper divisors (473254835).

823252045 is a wasteful number, since it uses less digits than its factorization.

823252045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112585.

The product of its (nonzero) digits is 19200, while the sum is 31.

The square root of 823252045 is about 28692.3691074822. The cubic root of 823252045 is about 937.2258806273.

The spelling of 823252045 in words is "eight hundred twenty-three million, two hundred fifty-two thousand, forty-five".

Divisors: 1 5 7 11 19 35 55 77 95 133 209 385 665 1045 1463 7315 112543 562715 787801 1237973 2138317 3939005 6189865 8665811 10691585 14968219 23521487 43329055 74841095 117607435 164650409 823252045