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82091541 = 375373757
BaseRepresentation
bin1001110010010…
…01111000010101
312201110200102110
410321021320111
5132003412131
612051301233
72014523640
oct471117025
9181420373
1082091541
114237a654
12235aa819
131401339c
14ac8ca57
157318646
hex4e49e15

82091541 has 16 divisors (see below), whose sum is σ = 127453824. Its totient is φ = 46023744.

The previous prime is 82091539. The next prime is 82091551. The reversal of 82091541 is 14519028.

It is a happy number.

It is not a de Polignac number, because 82091541 - 21 = 82091539 is a prime.

It is a super-2 number, since 2×820915412 = 13478042207509362, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 82091499 and 82091508.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82091501) 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 15 ways as a sum of consecutive naturals, for example, 35766 + ... + 37991.

It is an arithmetic number, because the mean of its divisors is an integer number (7965864).

Almost surely, 282091541 is an apocalyptic number.

It is an amenable number.

82091541 is a deficient number, since it is larger than the sum of its proper divisors (45362283).

82091541 is a wasteful number, since it uses less digits than its factorization.

82091541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73820.

The product of its (nonzero) digits is 2880, while the sum is 30.

The square root of 82091541 is about 9060.4382344344. The cubic root of 82091541 is about 434.6097543821.

The spelling of 82091541 in words is "eighty-two million, ninety-one thousand, five hundred forty-one".

Divisors: 1 3 7 21 53 159 371 1113 73757 221271 516299 1548897 3909121 11727363 27363847 82091541