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82435541 = 31285781
BaseRepresentation
bin1001110100111…
…01110111010101
312202010011022012
410322131313111
5132100414131
612102514005
72020455566
oct472356725
9182104265
1082435541
1142595051
1223735905
1314103b36
14ad3c16d
15738552b
hex4e9ddd5

82435541 has 6 divisors (see below), whose sum is σ = 85181526. Its totient is φ = 79775400.

The previous prime is 82435537. The next prime is 82435553. The reversal of 82435541 is 14553428.

It can be written as a sum of positive squares in only one way, i.e., 80820100 + 1615441 = 8990^2 + 1271^2 .

It is not a de Polignac number, because 82435541 - 22 = 82435537 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 82435498 and 82435507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82435531) 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 5 ways as a sum of consecutive naturals, for example, 41930 + ... + 43851.

It is an arithmetic number, because the mean of its divisors is an integer number (14196921).

Almost surely, 282435541 is an apocalyptic number.

It is an amenable number.

82435541 is a deficient number, since it is larger than the sum of its proper divisors (2745985).

82435541 is an equidigital number, since it uses as much as digits as its factorization.

82435541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85843 (or 85812 counting only the distinct ones).

The product of its digits is 19200, while the sum is 32.

The square root of 82435541 is about 9079.4020177543. The cubic root of 82435541 is about 435.2159776570.

Adding to 82435541 its reverse (14553428), we get a palindrome (96988969).

The spelling of 82435541 in words is "eighty-two million, four hundred thirty-five thousand, five hundred forty-one".

Divisors: 1 31 961 85781 2659211 82435541