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83378825 = 527694337
BaseRepresentation
bin1001111100001…
…00001010001001
312210220002020122
410332010022021
5132321110300
612135033025
72031464645
oct476041211
9183802218
1083378825
1143079822
1223b0b775
13143742aa
14b105c25
1574bec85
hex4f84289

83378825 has 12 divisors (see below), whose sum is σ = 103548060. Its totient is φ = 66600960.

The previous prime is 83378807. The next prime is 83378837. The reversal of 83378825 is 52887338.

It can be written as a sum of positive squares in 6 ways, for example, as 21724921 + 61653904 = 4661^2 + 7852^2 .

It is not a de Polignac number, because 83378825 - 216 = 83313289 is a prime.

It is a hoax number, since the sum of its digits (44) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17057 + ... + 21393.

It is an arithmetic number, because the mean of its divisors is an integer number (8629005).

Almost surely, 283378825 is an apocalyptic number.

It is an amenable number.

83378825 is a deficient number, since it is larger than the sum of its proper divisors (20169235).

83378825 is a wasteful number, since it uses less digits than its factorization.

83378825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5116 (or 5111 counting only the distinct ones).

The product of its digits is 322560, while the sum is 44.

The square root of 83378825 is about 9131.2006329945. The cubic root of 83378825 is about 436.8696991722.

The spelling of 83378825 in words is "eighty-three million, three hundred seventy-eight thousand, eight hundred twenty-five".

Divisors: 1 5 25 769 3845 4337 19225 21685 108425 3335153 16675765 83378825