[go: up one dir, main page]

Search a number
-
+
86853195 = 33511213409
BaseRepresentation
bin1010010110101…
…00011001001011
320001102121012000
411023110121023
5134213300240
612341322043
72103145212
oct513243113
9201377160
1086853195
1145032100
1225106323
1314cbc830
14b76c079
157959430
hex52d464b

86853195 has 96 divisors (see below), whose sum is σ = 183220800. Its totient is φ = 38776320.

The previous prime is 86853181. The next prime is 86853223. The reversal of 86853195 is 59135868.

It is not a de Polignac number, because 86853195 - 29 = 86852683 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 86853195.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 212151 + ... + 212559.

It is an arithmetic number, because the mean of its divisors is an integer number (1908550).

Almost surely, 286853195 is an apocalyptic number.

86853195 is an abundant number, since it is smaller than the sum of its proper divisors (96367605).

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

86853195 is a wasteful number, since it uses less digits than its factorization.

86853195 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 458 (or 441 counting only the distinct ones).

The product of its digits is 259200, while the sum is 45.

The square root of 86853195 is about 9319.5061564441. The cubic root of 86853195 is about 442.8553881552.

The spelling of 86853195 in words is "eighty-six million, eight hundred fifty-three thousand, one hundred ninety-five".

Divisors: 1 3 5 9 11 13 15 27 33 39 45 55 65 99 117 121 135 143 165 195 297 351 363 409 429 495 585 605 715 1089 1227 1287 1485 1573 1755 1815 2045 2145 3267 3681 3861 4499 4719 5317 5445 6135 6435 7865 11043 13497 14157 15951 16335 18405 19305 22495 23595 26585 40491 42471 47853 49489 55215 58487 67485 70785 79755 121473 143559 148467 175461 202455 212355 239265 247445 292435 445401 526383 607365 643357 717795 742335 877305 1336203 1579149 1930071 2227005 2631915 3216785 5790213 6681015 7895745 9650355 17370639 28951065 86853195