Search a number
-
+
84756085 = 5372411901
BaseRepresentation
bin1010000110101…
…00011001110101
312220111001111021
411003110121311
5133144143320
612224341141
72046262201
oct503243165
9186431437
1084756085
114392a557
12244747b1
131473713b
14b383b01
157692daa
hex50d4675

84756085 has 16 divisors (see below), whose sum is σ = 104944752. Its totient is φ = 65664000.

The previous prime is 84756079. The next prime is 84756097. The reversal of 84756085 is 58065748.

It can be written as a sum of positive squares in 8 ways, for example, as 152881 + 84603204 = 391^2 + 9198^2 .

It is a de Polignac number, because none of the positive numbers 2k-84756085 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

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, 43635 + ... + 45535.

It is an arithmetic number, because the mean of its divisors is an integer number (6559047).

Almost surely, 284756085 is an apocalyptic number.

It is an amenable number.

84756085 is a deficient number, since it is larger than the sum of its proper divisors (20188667).

84756085 is a wasteful number, since it uses less digits than its factorization.

84756085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2184.

The product of its (nonzero) digits is 268800, while the sum is 43.

The square root of 84756085 is about 9206.3068056632. The cubic root of 84756085 is about 439.2619945960.

The spelling of 84756085 in words is "eighty-four million, seven hundred fifty-six thousand, eighty-five".

Divisors: 1 5 37 185 241 1205 1901 8917 9505 44585 70337 351685 458141 2290705 16951217 84756085