Search a number
-
+
82129941 = 32172323339
BaseRepresentation
bin1001110010100…
…11010000010101
312201112122002200
410321103100111
5132011124231
612052155113
72015043615
oct471232025
9181478080
1082129941
11423a6493
1223608a99
13140279ca
14ac9ca45
157324be6
hex4e53415

82129941 has 24 divisors (see below), whose sum is σ = 131077440. Its totient is φ = 49289856.

The previous prime is 82129921. The next prime is 82129963. The reversal of 82129941 is 14992128.

It is not a de Polignac number, because 82129941 - 25 = 82129909 is a prime.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 82129896 and 82129905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82129921) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8151 + ... + 15188.

It is an arithmetic number, because the mean of its divisors is an integer number (5461560).

Almost surely, 282129941 is an apocalyptic number.

It is an amenable number.

82129941 is a deficient number, since it is larger than the sum of its proper divisors (48947499).

82129941 is a wasteful number, since it uses less digits than its factorization.

82129941 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23385 (or 23382 counting only the distinct ones).

The product of its digits is 10368, while the sum is 36.

The square root of 82129941 is about 9062.5570894754. The cubic root of 82129941 is about 434.6775096905.

The spelling of 82129941 in words is "eighty-two million, one hundred twenty-nine thousand, nine hundred forty-one".

Divisors: 1 3 9 17 23 51 69 153 207 391 1173 3519 23339 70017 210051 396763 536797 1190289 1610391 3570867 4831173 9125549 27376647 82129941