Search a number
-
+
85356936 = 2333756453
BaseRepresentation
bin1010001011001…
…11000110001000
312221121120201000
411011213012020
5133322410221
612245255000
72054344020
oct505470610
9187546630
1085356936
11441aaa25
1224704460
13148b7782
14b49ca80
157760e26
hex5167188

85356936 has 64 divisors (see below), whose sum is σ = 270979200. Its totient is φ = 24387264.

The previous prime is 85356899. The next prime is 85356937. The reversal of 85356936 is 63965358.

85356936 is a `hidden beast` number, since 8 + 53 + 569 + 36 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 85356891 and 85356900.

It is not an unprimeable number, because it can be changed into a prime (85356937) 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 15 ways as a sum of consecutive naturals, for example, 26715 + ... + 29738.

It is an arithmetic number, because the mean of its divisors is an integer number (4234050).

Almost surely, 285356936 is an apocalyptic number.

It is an amenable number.

85356936 is an abundant number, since it is smaller than the sum of its proper divisors (185622264).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

85356936 is a wasteful number, since it uses less digits than its factorization.

85356936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56475 (or 56465 counting only the distinct ones).

The product of its digits is 583200, while the sum is 45.

The square root of 85356936 is about 9238.8817505150. The cubic root of 85356936 is about 440.2975535526.

The spelling of 85356936 in words is "eighty-five million, three hundred fifty-six thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 126 168 189 216 252 378 504 756 1512 56453 112906 169359 225812 338718 395171 451624 508077 677436 790342 1016154 1185513 1354872 1524231 1580684 2032308 2371026 3048462 3161368 3556539 4064616 4742052 6096924 7113078 9484104 10669617 12193848 14226156 21339234 28452312 42678468 85356936