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83417725 = 5217196277
BaseRepresentation
bin1001111100011…
…01101001111101
312210222001121101
410332031221331
5132323331400
612135533101
72032016236
oct476155175
9183861541
1083417725
11430a5a76
1223b2a191
1314388c01
14b11608d
1574cb56a
hex4f8da7d

83417725 has 12 divisors (see below), whose sum is σ = 109523124. Its totient is φ = 62808320.

The previous prime is 83417713. The next prime is 83417729. The reversal of 83417725 is 52771438.

It can be written as a sum of positive squares in 6 ways, for example, as 3171961 + 80245764 = 1781^2 + 8958^2 .

It is not a de Polignac number, because 83417725 - 213 = 83409533 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83417729) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 97714 + ... + 98563.

It is an arithmetic number, because the mean of its divisors is an integer number (9126927).

Almost surely, 283417725 is an apocalyptic number.

83417725 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

It is an amenable number.

83417725 is a deficient number, since it is larger than the sum of its proper divisors (26105399).

83417725 is a wasteful number, since it uses less digits than its factorization.

83417725 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196304 (or 196299 counting only the distinct ones).

The product of its digits is 47040, while the sum is 37.

The square root of 83417725 is about 9133.3304440385. The cubic root of 83417725 is about 436.9376284461.

The spelling of 83417725 in words is "eighty-three million, four hundred seventeen thousand, seven hundred twenty-five".

Divisors: 1 5 17 25 85 425 196277 981385 3336709 4906925 16683545 83417725