Search a number
-
+
86744945 = 572292421
BaseRepresentation
bin1010010101110…
…01111101110001
320001020002200202
411022321331301
5134201314240
612335124545
72102214500
oct512717561
9201202622
1086744945
1144a68841
1225073755
1314c82491
14b740837
157937315
hex52b9f71

86744945 has 36 divisors (see below), whose sum is σ = 125706204. Its totient is φ = 57294720.

The previous prime is 86744921. The next prime is 86745059. The reversal of 86744945 is 54944768.

It can be written as a sum of positive squares in 6 ways, for example, as 13454224 + 73290721 = 3668^2 + 8561^2 .

It is not a de Polignac number, because 86744945 - 28 = 86744689 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 86744945.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 205835 + ... + 206255.

It is an arithmetic number, because the mean of its divisors is an integer number (3491839).

Almost surely, 286744945 is an apocalyptic number.

It is an amenable number.

86744945 is a deficient number, since it is larger than the sum of its proper divisors (38961259).

86744945 is a wasteful number, since it uses less digits than its factorization.

86744945 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 498 (or 462 counting only the distinct ones).

The product of its digits is 967680, while the sum is 47.

The square root of 86744945 is about 9313.6966345270. The cubic root of 86744945 is about 442.6713265097.

The spelling of 86744945 in words is "eighty-six million, seven hundred forty-four thousand, nine hundred forty-five".

Divisors: 1 5 7 29 35 49 145 203 245 421 841 1015 1421 2105 2947 4205 5887 7105 12209 14735 20629 29435 41209 61045 85463 103145 206045 354061 427315 598241 1770305 2478427 2991205 12392135 17348989 86744945