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82415477 = 29243253
BaseRepresentation
bin1001110100110…
…00111101110101
312202002010210002
410322120331311
5132044243402
612102241045
72020343234
oct472307565
9182063702
1082415477
1142580a71
1223726185
13140c7971
14ad34b1b
15737e602
hex4e98f75

82415477 has 18 divisors (see below), whose sum is σ = 89035362. Its totient is φ = 76256544.

The previous prime is 82415471. The next prime is 82415527. The reversal of 82415477 is 77451428.

It can be written as a sum of positive squares in 3 ways, for example, as 21169201 + 61246276 = 4601^2 + 7826^2 .

It is not a de Polignac number, because 82415477 - 24 = 82415461 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 82415477.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82415471) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1554983 + ... + 1555035.

It is an arithmetic number, because the mean of its divisors is an integer number (4946409).

Almost surely, 282415477 is an apocalyptic number.

It is an amenable number.

82415477 is a deficient number, since it is larger than the sum of its proper divisors (6619885).

82415477 is an equidigital number, since it uses as much as digits as its factorization.

82415477 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 125 counting only the distinct ones).

The product of its digits is 62720, while the sum is 38.

The square root of 82415477 is about 9078.2970319328. The cubic root of 82415477 is about 435.1806656957.

The spelling of 82415477 in words is "eighty-two million, four hundred fifteen thousand, four hundred seventy-seven".

Divisors: 1 29 43 53 841 1247 1537 1849 2279 36163 44573 53621 66091 97997 1555009 1916639 2841913 82415477