Search a number
-
+
82587041 = 292283347
BaseRepresentation
bin1001110110000…
…10110110100001
312202101212010022
410323002312201
5132120241131
612110043225
72021656355
oct473026641
9182355108
1082587041
1142688959
12237a9515
1314157a94
14ad7b465
1573b537b
hex4ec2da1

82587041 has 12 divisors (see below), whose sum is σ = 86082672. Its totient is φ = 79228464.

The previous prime is 82586971. The next prime is 82587073. The reversal of 82587041 is 14078528.

It is a de Polignac number, because none of the positive numbers 2k-82587041 is a prime.

It is a super-2 number, since 2×825870412 = 13641238682271362, which contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 82586992 and 82587010.

It is not an unprimeable number, because it can be changed into a prime (82587341) 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 11 ways as a sum of consecutive naturals, for example, 237830 + ... + 238176.

It is an arithmetic number, because the mean of its divisors is an integer number (7173556).

Almost surely, 282587041 is an apocalyptic number.

It is an amenable number.

82587041 is a deficient number, since it is larger than the sum of its proper divisors (3495631).

82587041 is a wasteful number, since it uses less digits than its factorization.

82587041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 688 (or 659 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 35.

The square root of 82587041 is about 9087.7412485171. The cubic root of 82587041 is about 435.4824277387.

The spelling of 82587041 in words is "eighty-two million, five hundred eighty-seven thousand, forty-one".

Divisors: 1 29 283 347 841 8207 10063 98201 238003 291827 2847829 82587041