Search a number
-
+
85259097 = 32711177237
BaseRepresentation
bin1010001010011…
…11001101011001
312221102121111100
411011033031121
5133311242342
612243222013
72053455540
oct505171531
9187377440
1085259097
1144143470
1224677909
1314882091
14b475157
157741e4c
hex514f359

85259097 has 48 divisors (see below), whose sum is σ = 162594432. Its totient is φ = 41679360.

The previous prime is 85259093. The next prime is 85259113. The reversal of 85259097 is 79095258.

It is a happy number.

85259097 is a `hidden beast` number, since 8 + 52 + 590 + 9 + 7 = 666.

It is not a de Polignac number, because 85259097 - 22 = 85259093 is a prime.

It is a super-2 number, since 2×852590972 = 14538227242510818, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (85259093) 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, 8163 + ... + 15399.

It is an arithmetic number, because the mean of its divisors is an integer number (3387384).

Almost surely, 285259097 is an apocalyptic number.

It is an amenable number.

85259097 is a deficient number, since it is larger than the sum of its proper divisors (77335335).

85259097 is a wasteful number, since it uses less digits than its factorization.

85259097 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7278 (or 7275 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 45.

The square root of 85259097 is about 9233.5852733378. The cubic root of 85259097 is about 440.1292612649.

The spelling of 85259097 in words is "eighty-five million, two hundred fifty-nine thousand, ninety-seven".

Divisors: 1 3 7 9 11 17 21 33 51 63 77 99 119 153 187 231 357 561 693 1071 1309 1683 3927 7237 11781 21711 50659 65133 79607 123029 151977 238821 369087 455931 557249 716463 861203 1107261 1353319 1671747 2583609 4059957 5015241 7750827 9473233 12179871 28419699 85259097