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82448135 = 5721130593
BaseRepresentation
bin1001110101000…
…00111100000111
312202010210120122
410322200330013
5132101320020
612103052155
72020540400
oct472407407
9182123518
1082448135
11425a3560
122374105b
13141097a3
14ad429a7
157389125
hex4ea0f07

82448135 has 24 divisors (see below), whose sum is σ = 125557776. Its totient is φ = 51394560.

The previous prime is 82448117. The next prime is 82448137. The reversal of 82448135 is 53184428.

It is not a de Polignac number, because 82448135 - 212 = 82444039 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 82448095 and 82448104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82448137) 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, 12602 + ... + 17991.

It is an arithmetic number, because the mean of its divisors is an integer number (5231574).

Almost surely, 282448135 is an apocalyptic number.

82448135 is a deficient number, since it is larger than the sum of its proper divisors (43109641).

82448135 is a wasteful number, since it uses less digits than its factorization.

82448135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30623 (or 30616 counting only the distinct ones).

The product of its digits is 30720, while the sum is 35.

The square root of 82448135 is about 9080.0955391449. The cubic root of 82448135 is about 435.2381397441.

The spelling of 82448135 in words is "eighty-two million, four hundred forty-eight thousand, one hundred thirty-five".

Divisors: 1 5 7 11 35 49 55 77 245 385 539 2695 30593 152965 214151 336523 1070755 1499057 1682615 2355661 7495285 11778305 16489627 82448135