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81825335 = 5177313187
BaseRepresentation
bin1001110000010…
…00111000110111
312200222011020222
410320020320313
5131421402320
612041444555
72012334554
oct470107067
9180864228
1081825335
1142208649
12234a075b
1313c4c177
14ac1da2b
1572b4825
hex4e08e37

81825335 has 16 divisors (see below), whose sum is σ = 105398496. Its totient is φ = 60761088.

The previous prime is 81825307. The next prime is 81825353. The reversal of 81825335 is 53352818.

81825335 = T292 + T293 + ... + T801.

It is a cyclic number.

It is not a de Polignac number, because 81825335 - 218 = 81563191 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 81825295 and 81825304.

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 15 ways as a sum of consecutive naturals, for example, 389 + ... + 12798.

It is an arithmetic number, because the mean of its divisors is an integer number (6587406).

Almost surely, 281825335 is an apocalyptic number.

81825335 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

81825335 is a deficient number, since it is larger than the sum of its proper divisors (23573161).

81825335 is a wasteful number, since it uses less digits than its factorization.

81825335 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13282.

The product of its digits is 28800, while the sum is 35.

The square root of 81825335 is about 9045.7357356934. The cubic root of 81825335 is about 434.1394622837.

The spelling of 81825335 in words is "eighty-one million, eight hundred twenty-five thousand, three hundred thirty-five".

Divisors: 1 5 17 73 85 365 1241 6205 13187 65935 224179 962651 1120895 4813255 16365067 81825335