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65216385 = 325132337131
BaseRepresentation
bin1111100011000…
…1111110000001
311112201100001200
43320301332001
5113143411020
610245451413
71421221143
oct370617601
9145640050
1065216385
11338a4043
1219a10b69
13106853a0
148938c93
155ad3590
hex3e31f81

65216385 has 96 divisors (see below), whose sum is σ = 131459328. Its totient is φ = 29652480.

The previous prime is 65216357. The next prime is 65216399. The reversal of 65216385 is 58361256.

65216385 is a `hidden beast` number, since 65 + 216 + 385 = 666.

It is not a de Polignac number, because 65216385 - 25 = 65216353 is a prime.

It is an alternating number because its digits alternate between even and odd.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 497770 + ... + 497900.

It is an arithmetic number, because the mean of its divisors is an integer number (1369368).

Almost surely, 265216385 is an apocalyptic number.

65216385 is a gapful number since it is divisible by the number (65) formed by its first and last digit.

It is an amenable number.

65216385 is an abundant number, since it is smaller than the sum of its proper divisors (66242943).

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

65216385 is a wasteful number, since it uses less digits than its factorization.

65216385 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 212 counting only the distinct ones).

The product of its digits is 43200, while the sum is 36.

The square root of 65216385 is about 8075.6662263865. Note that the first 3 decimals coincide. The cubic root of 65216385 is about 402.5182482114.

The spelling of 65216385 in words is "sixty-five million, two hundred sixteen thousand, three hundred eighty-five".

Divisors: 1 3 5 9 13 15 23 37 39 45 65 69 111 115 117 131 185 195 207 299 333 345 393 481 555 585 655 851 897 1035 1179 1443 1495 1665 1703 1965 2405 2553 2691 3013 4255 4329 4485 4847 5109 5895 7215 7659 8515 9039 11063 12765 13455 14541 15065 15327 21645 24235 25545 27117 33189 38295 39169 43623 45195 55315 63011 72705 76635 99567 111481 117507 135585 165945 189033 195845 218115 315055 334443 352521 497835 557405 567099 587535 945165 1003329 1449253 1672215 1762605 2835495 4347759 5016645 7246265 13043277 21738795 65216385