Search a number
-
+
85817484 = 22326139079
BaseRepresentation
bin1010001110101…
…11100010001100
312222110222110100
411013113202030
5133432124414
612303211100
72061302514
oct507274214
9188428410
1085817484
1144494a45
12248a6a90
1314a1929c
14b57c844
157802609
hex51d788c

85817484 has 36 divisors (see below), whose sum is σ = 220489360. Its totient is φ = 28136160.

The previous prime is 85817483. The next prime is 85817489. The reversal of 85817484 is 48471858.

It is a tau number, because it is divible by the number of its divisors (36).

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 not an unprimeable number, because it can be changed into a prime (85817483) 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 11 ways as a sum of consecutive naturals, for example, 17344 + ... + 21735.

Almost surely, 285817484 is an apocalyptic number.

It is an amenable number.

85817484 is an abundant number, since it is smaller than the sum of its proper divisors (134671876).

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

85817484 is a wasteful number, since it uses less digits than its factorization.

85817484 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39150 (or 39145 counting only the distinct ones).

The product of its digits is 286720, while the sum is 45.

The square root of 85817484 is about 9263.7726656044. The cubic root of 85817484 is about 441.0880167388.

The spelling of 85817484 in words is "eighty-five million, eight hundred seventeen thousand, four hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 18 36 61 122 183 244 366 549 732 1098 2196 39079 78158 117237 156316 234474 351711 468948 703422 1406844 2383819 4767638 7151457 9535276 14302914 21454371 28605828 42908742 85817484