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83518025 = 5217414793
BaseRepresentation
bin1001111101001…
…10001001001001
312211011011012012
410332212021021
5132340034100
612142025305
72032614533
oct476461111
9184134165
1083518025
1143164368
1223b78235
13143c2766
14b140853
1574eb135
hex4fa6249

83518025 has 24 divisors (see below), whose sum is σ = 112352184. Its totient is φ = 61337600.

The previous prime is 83518021. The next prime is 83518027. The reversal of 83518025 is 52081538.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 16801801 + 66716224 = 4099^2 + 8168^2 .

It is not a de Polignac number, because 83518025 - 22 = 83518021 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 83517982 and 83518000.

It is not an unprimeable number, because it can be changed into a prime (83518021) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 15029 + ... + 19821.

It is an arithmetic number, because the mean of its divisors is an integer number (4681341).

Almost surely, 283518025 is an apocalyptic number.

83518025 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

It is an amenable number.

83518025 is a deficient number, since it is larger than the sum of its proper divisors (28834159).

83518025 is a wasteful number, since it uses less digits than its factorization.

83518025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4861 (or 4856 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 32.

The square root of 83518025 is about 9138.8196721459. The cubic root of 83518025 is about 437.1126803355.

The spelling of 83518025 in words is "eighty-three million, five hundred eighteen thousand, twenty-five".

Divisors: 1 5 17 25 41 85 205 425 697 1025 3485 4793 17425 23965 81481 119825 196513 407405 982565 2037025 3340721 4912825 16703605 83518025