Search a number
-
+
83086488 = 233223131383
BaseRepresentation
bin1001111001111…
…00110010011000
312210100020020100
410330330302120
5132232231423
612124455400
72026136442
oct474746230
9183306210
1083086488
114299a121
12239aa560
13142a1204
14b06b492
157463343
hex4f3cc98

83086488 has 96 divisors (see below), whose sum is σ = 237219840. Its totient is φ = 26220480.

The previous prime is 83086481. The next prime is 83086501. The reversal of 83086488 is 88468038.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83086481) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 216745 + ... + 217127.

It is an arithmetic number, because the mean of its divisors is an integer number (2471040).

Almost surely, 283086488 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83086488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118609920).

83086488 is an abundant number, since it is smaller than the sum of its proper divisors (154133352).

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

83086488 is a wasteful number, since it uses less digits than its factorization.

83086488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 549 (or 542 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The square root of 83086488 is about 9115.1789889173. The cubic root of 83086488 is about 436.3585273076.

The spelling of 83086488 in words is "eighty-three million, eighty-six thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 36 46 69 72 92 131 138 184 207 262 276 383 393 414 524 552 766 786 828 1048 1149 1179 1532 1572 1656 2298 2358 3013 3064 3144 3447 4596 4716 6026 6894 8809 9039 9192 9432 12052 13788 17618 18078 24104 26427 27117 27576 35236 36156 50173 52854 54234 70472 72312 79281 100346 105708 108468 150519 158562 200692 211416 216936 301038 317124 401384 451557 602076 634248 903114 1153979 1204152 1806228 2307958 3461937 3612456 4615916 6923874 9231832 10385811 13847748 20771622 27695496 41543244 83086488