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84736125 = 34538369
BaseRepresentation
bin1010000110011…
…11100001111101
312220110001010000
411003033201331
5133143024000
612224104513
72046150045
oct503174175
9186401100
1084736125
1143916561
1224465139
131472b026
14b37a725
15768c000
hex50cf87d

84736125 has 40 divisors (see below), whose sum is σ = 157992120. Its totient is φ = 45187200.

The previous prime is 84736121. The next prime is 84736129. The reversal of 84736125 is 52163748.

It is an interprime number because it is at equal distance from previous prime (84736121) and next prime (84736129).

It can be written as a sum of positive squares in 4 ways, for example, as 793881 + 83942244 = 891^2 + 9162^2 .

It is not a de Polignac number, because 84736125 - 22 = 84736121 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 84736125.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84736121) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5941 + ... + 14309.

It is an arithmetic number, because the mean of its divisors is an integer number (3949803).

Almost surely, 284736125 is an apocalyptic number.

It is an amenable number.

84736125 is a deficient number, since it is larger than the sum of its proper divisors (73255995).

84736125 is an equidigital number, since it uses as much as digits as its factorization.

84736125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8396 (or 8377 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 84736125 is about 9205.2227023576. Note that the first 3 decimals coincide. The cubic root of 84736125 is about 439.2275099225.

The spelling of 84736125 in words is "eighty-four million, seven hundred thirty-six thousand, one hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 45 75 81 125 135 225 375 405 675 1125 2025 3375 8369 10125 25107 41845 75321 125535 209225 225963 376605 627675 677889 1046125 1129815 1883025 3138375 3389445 5649075 9415125 16947225 28245375 84736125