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84935825 = 52131715373
BaseRepresentation
bin1010001000000…
…00010010010001
312220211012001022
411010000102101
5133220421300
612232245225
72050641212
oct504002221
9186735038
1084935825
1143a425a7
1224540815
131479abb0
14b3cd409
1576cb285
hex5100491

84935825 has 24 divisors (see below), whose sum is σ = 120101688. Its totient is φ = 59028480.

The previous prime is 84935821. The next prime is 84935827. The reversal of 84935825 is 52853948.

It can be written as a sum of positive squares in 12 ways, for example, as 53114944 + 31820881 = 7288^2 + 5641^2 .

It is not a de Polignac number, because 84935825 - 22 = 84935821 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (84935821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2162 + ... + 13211.

It is an arithmetic number, because the mean of its divisors is an integer number (5004237).

Almost surely, 284935825 is an apocalyptic number.

84935825 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

It is an amenable number.

84935825 is a deficient number, since it is larger than the sum of its proper divisors (35165863).

84935825 is a wasteful number, since it uses less digits than its factorization.

84935825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15413 (or 15408 counting only the distinct ones).

The product of its digits is 345600, while the sum is 44.

The square root of 84935825 is about 9216.0634220908. The cubic root of 84935825 is about 439.5722858096.

The spelling of 84935825 in words is "eighty-four million, nine hundred thirty-five thousand, eight hundred twenty-five".

Divisors: 1 5 13 17 25 65 85 221 325 425 1105 5525 15373 76865 199849 261341 384325 999245 1306705 3397433 4996225 6533525 16987165 84935825