Search a number
-
+
482535216 = 243223891637
BaseRepresentation
bin11100110000101…
…110011100110000
31020121222022212200
4130300232130300
51442012111331
6115514223200
714646324132
oct3460563460
91217868780
10482535216
11228418939
12115724b00
1378c7b8c7
144812b052
152c5685e6
hex1cc2e730

482535216 has 120 divisors (see below), whose sum is σ = 1425846240. Its totient is φ = 152030208.

The previous prime is 482535203. The next prime is 482535247. The reversal of 482535216 is 612535284.

482535216 is a `hidden beast` number, since 4 + 82 + 53 + 521 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 293950 + ... + 295586.

It is an arithmetic number, because the mean of its divisors is an integer number (11882052).

Almost surely, 2482535216 is an apocalyptic number.

482535216 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 482535216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (712923120).

482535216 is an abundant number, since it is smaller than the sum of its proper divisors (943311024).

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

482535216 is a wasteful number, since it uses less digits than its factorization.

482535216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1763 (or 1754 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The square root of 482535216 is about 21966.6842286222. The cubic root of 482535216 is about 784.3495855239.

The spelling of 482535216 in words is "four hundred eighty-two million, five hundred thirty-five thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 36 46 48 69 72 89 92 138 144 178 184 207 267 276 356 368 414 534 552 712 801 828 1068 1104 1424 1602 1637 1656 2047 2136 3204 3274 3312 4094 4272 4911 6141 6408 6548 8188 9822 12282 12816 13096 14733 16376 18423 19644 24564 26192 29466 32752 36846 37651 39288 49128 58932 73692 75302 78576 98256 112953 117864 145693 147384 150604 225906 235728 291386 294768 301208 338859 437079 451812 582772 602416 677718 874158 903624 1165544 1311237 1355436 1748316 1807248 2331088 2622474 2710872 3350939 3496632 5244948 5421744 6701878 6993264 10052817 10489896 13403756 20105634 20979792 26807512 30158451 40211268 53615024 60316902 80422536 120633804 160845072 241267608 482535216