Search a number
-
+
86688384 = 273225751
BaseRepresentation
bin1010010101011…
…00001010000000
320001010020002220
411022230022000
5134143012014
612334011040
72101560546
oct512541200
9201106086
1086688384
1144a2a2a2
1225046a80
1314c62803
14b727d96
1579256a9
hex52ac280

86688384 has 32 divisors (see below), whose sum is σ = 230267040. Its totient is φ = 28896000.

The previous prime is 86688379. The next prime is 86688421. The reversal of 86688384 is 48388668.

It is a tau number, because it is divible by the number of its divisors (32).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 112492 + ... + 113259.

It is an arithmetic number, because the mean of its divisors is an integer number (7195845).

Almost surely, 286688384 is an apocalyptic number.

It is an amenable number.

86688384 is an abundant number, since it is smaller than the sum of its proper divisors (143578656).

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

86688384 is a wasteful number, since it uses less digits than its factorization.

86688384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225768 (or 225756 counting only the distinct ones).

The product of its digits is 1769472, while the sum is 51.

The square root of 86688384 is about 9310.6596973576. The cubic root of 86688384 is about 442.5750927493.

The spelling of 86688384 in words is "eighty-six million, six hundred eighty-eight thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 225751 451502 677253 903004 1354506 1806008 2709012 3612016 5418024 7224032 10836048 14448064 21672096 28896128 43344192 86688384