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77810041 = 88212
BaseRepresentation
bin1001010001101…
…00100101111001
312102102011022101
410220310211321
5124404410131
611415423401
71633242301
oct450644571
9172364271
1077810041
113aa15921
1222084b61
131317465a
14a496601
156c6ec61
hex4a34979

77810041 has 3 divisors (see below), whose sum is σ = 77818863. Its totient is φ = 77801220.

The previous prime is 77810021. The next prime is 77810053. The reversal of 77810041 is 14001877.

The square root of 77810041 is 8821.

It is a perfect power (a square), and thus also a powerful number.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length, and also an emirpimes, since its reverse is a distinct semiprime: 14001877 = 127110251.

It can be written as a sum of positive squares in only one way, i.e., 49294441 + 28515600 = 7021^2 + 5340^2 .

It is not a de Polignac number, because 77810041 - 25 = 77810009 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 77809991 and 77810009.

It is not an unprimeable number, because it can be changed into a prime (77810021) 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 2 ways as a sum of consecutive naturals, for example, 4411 + ... + 13231.

It is an arithmetic number, because the mean of its divisors is an integer number (25939621).

Almost surely, 277810041 is an apocalyptic number.

77810041 is the 8821-st square number.

77810041 is the 4411-st centered octagonal number.

It is an amenable number.

77810041 is a deficient number, since it is larger than the sum of its proper divisors (8822).

77810041 is an frugal number, since it uses more digits than its factorization.

77810041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17642 (or 8821 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 28.

The cubic root of 77810041 is about 426.9187358036.

The spelling of 77810041 in words is "seventy-seven million, eight hundred ten thousand, forty-one".

Divisors: 1 8821 77810041