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82580961 = 327526987
BaseRepresentation
bin1001110110000…
…01010111100001
312202101112210010
410323001113201
5132120042321
612105555133
72021632551
oct473012741
9182345703
1082580961
1142684331
12237a5aa9
1314155098
14ad79161
1573b3676
hex4ec15e1

82580961 has 4 divisors (see below), whose sum is σ = 110107952. Its totient is φ = 55053972.

The previous prime is 82580947. The next prime is 82580963. The reversal of 82580961 is 16908528.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is not a de Polignac number, because 82580961 - 214 = 82564577 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (82580963) 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 3 ways as a sum of consecutive naturals, for example, 13763491 + ... + 13763496.

It is an arithmetic number, because the mean of its divisors is an integer number (27526988).

Almost surely, 282580961 is an apocalyptic number.

It is an amenable number.

82580961 is a deficient number, since it is larger than the sum of its proper divisors (27526991).

82580961 is a wasteful number, since it uses less digits than its factorization.

82580961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27526990.

The product of its (nonzero) digits is 34560, while the sum is 39.

The square root of 82580961 is about 9087.4067257937. The cubic root of 82580961 is about 435.4717408395.

The spelling of 82580961 in words is "eighty-two million, five hundred eighty thousand, nine hundred sixty-one".

Divisors: 1 3 27526987 82580961