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82418435 = 5112951673
BaseRepresentation
bin1001110100110…
…01101100000011
312202002021211122
410322121230003
5132044342220
612102302455
72020354661
oct472315403
9182067748
1082418435
1142583210
1223727a2b
13140c9108
14ad35c31
157380425
hex4e99b03

82418435 has 16 divisors (see below), whose sum is σ = 111615840. Its totient is φ = 57872640.

The previous prime is 82418423. The next prime is 82418449. The reversal of 82418435 is 53481428.

It is a de Polignac number, because none of the positive numbers 2k-82418435 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 82418395 and 82418404.

It is an unprimeable number.

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, 24242 + ... + 27431.

It is an arithmetic number, because the mean of its divisors is an integer number (6975990).

Almost surely, 282418435 is an apocalyptic number.

82418435 is a deficient number, since it is larger than the sum of its proper divisors (29197405).

82418435 is a wasteful number, since it uses less digits than its factorization.

82418435 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51718.

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

The square root of 82418435 is about 9078.4599464887. The cubic root of 82418435 is about 435.1858720358.

The spelling of 82418435 in words is "eighty-two million, four hundred eighteen thousand, four hundred thirty-five".

Divisors: 1 5 11 29 55 145 319 1595 51673 258365 568403 1498517 2842015 7492585 16483687 82418435