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82880393 = 414353887
BaseRepresentation
bin1001111000010…
…10011110001001
312202221202112012
410330022132021
5132204133033
612120225305
72024320541
oct474123611
9182852465
1082880393
11428692a2
122390b235
131422b46b
14b016321
157422248
hex4f0a789

82880393 has 16 divisors (see below), whose sum is σ = 88615296. Its totient is φ = 77400960.

The previous prime is 82880383. The next prime is 82880417. The reversal of 82880393 is 39308828.

It is a cyclic number.

It is not a de Polignac number, because 82880393 - 24 = 82880377 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 82880393.

It is not an unprimeable number, because it can be changed into a prime (82880323) 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, 92996 + ... + 93882.

It is an arithmetic number, because the mean of its divisors is an integer number (5538456).

Almost surely, 282880393 is an apocalyptic number.

It is an amenable number.

82880393 is a deficient number, since it is larger than the sum of its proper divisors (5734903).

82880393 is a wasteful number, since it uses less digits than its factorization.

82880393 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1024.

The product of its (nonzero) digits is 82944, while the sum is 41.

The square root of 82880393 is about 9103.8669256531. The cubic root of 82880393 is about 435.9974346144.

The spelling of 82880393 in words is "eighty-two million, eight hundred eighty thousand, three hundred ninety-three".

Divisors: 1 41 43 53 887 1763 2173 2279 36367 38141 47011 93439 1563781 1927451 2021473 82880393