Search a number
-
+
85528325 = 524337901
BaseRepresentation
bin1010001100100…
…00111100000101
312221221021210202
411012100330011
5133343401300
612253100245
72055656501
oct506207405
9187837722
1085528325
1144307773
1224787685
131494779c
14b505301
157796ad5
hex5190f05

85528325 has 12 divisors (see below), whose sum is σ = 106313508. Its totient is φ = 68256000.

The previous prime is 85528319. The next prime is 85528327. The reversal of 85528325 is 52382558.

It can be written as a sum of positive squares in 6 ways, for example, as 5997601 + 79530724 = 2449^2 + 8918^2 .

It is not a de Polignac number, because 85528325 - 222 = 81334021 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85528327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6875 + ... + 14775.

It is an arithmetic number, because the mean of its divisors is an integer number (8859459).

Almost surely, 285528325 is an apocalyptic number.

It is an amenable number.

85528325 is a deficient number, since it is larger than the sum of its proper divisors (20785183).

85528325 is a wasteful number, since it uses less digits than its factorization.

85528325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8344 (or 8339 counting only the distinct ones).

The product of its digits is 96000, while the sum is 38.

The square root of 85528325 is about 9248.1525182060. The cubic root of 85528325 is about 440.5920490759.

The spelling of 85528325 in words is "eighty-five million, five hundred twenty-eight thousand, three hundred twenty-five".

Divisors: 1 5 25 433 2165 7901 10825 39505 197525 3421133 17105665 85528325