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83384601 = 3713531109
BaseRepresentation
bin1001111100001…
…01100100011001
312210220101011120
410332011210121
5132321301401
612135115453
72031520536
oct476054431
9183811146
1083384601
11430830a3
1223b12b89
1314376b01
14b107d8d
1574c1836
hex4f85919

83384601 has 16 divisors (see below), whose sum is σ = 113166720. Its totient is φ = 54602240.

The previous prime is 83384593. The next prime is 83384629. The reversal of 83384601 is 10648338.

It is a cyclic number.

It is not a de Polignac number, because 83384601 - 23 = 83384593 is a prime.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (83384671) 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 15 ways as a sum of consecutive naturals, for example, 74635 + ... + 75743.

It is an arithmetic number, because the mean of its divisors is an integer number (7072920).

Almost surely, 283384601 is an apocalyptic number.

It is an amenable number.

83384601 is a deficient number, since it is larger than the sum of its proper divisors (29782119).

83384601 is a wasteful number, since it uses less digits than its factorization.

83384601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1536.

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 83384601 is about 9131.5169057501. The cubic root of 83384601 is about 436.8797868698.

The spelling of 83384601 in words is "eighty-three million, three hundred eighty-four thousand, six hundred one".

Divisors: 1 3 71 213 353 1059 1109 3327 25063 75189 78739 236217 391477 1174431 27794867 83384601