Search a number
-
+
85728175 = 52133167127
BaseRepresentation
bin1010001110000…
…01101110101111
312222022102221121
411013001232233
5133421300200
612301241411
72060451241
oct507015657
9188272847
1085728175
1144433935
1224863267
13149b7740
14b558091
1577d5e1a
hex51c1baf

85728175 has 48 divisors (see below), whose sum is σ = 120881152. Its totient is φ = 59875200.

The previous prime is 85728157. The next prime is 85728179. The reversal of 85728175 is 57182758.

It is not a de Polignac number, because 85728175 - 211 = 85726127 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85728179) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 674962 + ... + 675088.

Almost surely, 285728175 is an apocalyptic number.

85728175 is a deficient number, since it is larger than the sum of its proper divisors (35152977).

85728175 is a wasteful number, since it uses less digits than its factorization.

85728175 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 243 counting only the distinct ones).

The product of its digits is 156800, while the sum is 43.

The square root of 85728175 is about 9258.9510745008. The cubic root of 85728175 is about 440.9349523474.

The spelling of 85728175 in words is "eighty-five million, seven hundred twenty-eight thousand, one hundred seventy-five".

Divisors: 1 5 13 25 31 65 67 127 155 325 335 403 635 775 871 1651 1675 2015 2077 3175 3937 4355 8255 8509 10075 10385 19685 21775 27001 41275 42545 51181 51925 98425 110617 135005 212725 255905 263779 553085 675025 1279525 1318895 2765425 3429127 6594475 17145635 85728175