Search a number
-
+
85434825 = 3527353461
BaseRepresentation
bin1010001011110…
…10000111001001
312221202112112210
411011322013021
5133332403300
612251055333
72055120060
oct505720711
9187675483
1085434825
11442534a3
1224741549
1314914068
14b4bd1d7
157779050
hex517a1c9

85434825 has 48 divisors (see below), whose sum is σ = 162239616. Its totient is φ = 38860800.

The previous prime is 85434823. The next prime is 85434827. The reversal of 85434825 is 52843458.

It is an interprime number because it is at equal distance from previous prime (85434823) and next prime (85434827).

It is not a de Polignac number, because 85434825 - 21 = 85434823 is a prime.

It is not an unprimeable number, because it can be changed into a prime (85434823) 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 47 ways as a sum of consecutive naturals, for example, 185095 + ... + 185555.

It is an arithmetic number, because the mean of its divisors is an integer number (3379992).

Almost surely, 285434825 is an apocalyptic number.

It is an amenable number.

85434825 is a deficient number, since it is larger than the sum of its proper divisors (76804791).

85434825 is a wasteful number, since it uses less digits than its factorization.

85434825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 834 (or 829 counting only the distinct ones).

The product of its digits is 153600, while the sum is 39.

The square root of 85434825 is about 9243.0960722044. The cubic root of 85434825 is about 440.4314380449.

The spelling of 85434825 in words is "eighty-five million, four hundred thirty-four thousand, eight hundred twenty-five".

Divisors: 1 3 5 7 15 21 25 35 75 105 175 353 461 525 1059 1383 1765 2305 2471 3227 5295 6915 7413 8825 9681 11525 12355 16135 26475 34575 37065 48405 61775 80675 162733 185325 242025 488199 813665 1139131 2440995 3417393 4068325 5695655 12204975 17086965 28478275 85434825