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48663216 = 24327232099
BaseRepresentation
bin1011100110100…
…0101010110000
310101120100101100
42321220222300
544424210331
64455004400
71130426160
oct271505260
9111510340
1048663216
1125518438
1214369700
13a10ab04
14666a5a0
154413ae6
hex2e68ab0

48663216 has 120 divisors (see below), whose sum is σ = 162489600. Its totient is φ = 13292928.

The previous prime is 48663203. The next prime is 48663217. The reversal of 48663216 is 61236684.

48663216 is a `hidden beast` number, since 4 + 8 + 6 + 632 + 16 = 666.

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

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

It is a zygodrome in base 6.

It is not an unprimeable number, because it can be changed into a prime (48663217) 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, 22135 + ... + 24233.

It is an arithmetic number, because the mean of its divisors is an integer number (1354080).

Almost surely, 248663216 is an apocalyptic number.

48663216 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 48663216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81244800).

48663216 is an abundant number, since it is smaller than the sum of its proper divisors (113826384).

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

48663216 is a wasteful number, since it uses less digits than its factorization.

48663216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2143 (or 2134 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 48663216 is about 6975.9025222547. The cubic root of 48663216 is about 365.0902785383.

The spelling of 48663216 in words is "forty-eight million, six hundred sixty-three thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 23 24 28 36 42 46 48 56 63 69 72 84 92 112 126 138 144 161 168 184 207 252 276 322 336 368 414 483 504 552 644 828 966 1008 1104 1288 1449 1656 1932 2099 2576 2898 3312 3864 4198 5796 6297 7728 8396 11592 12594 14693 16792 18891 23184 25188 29386 33584 37782 44079 48277 50376 58772 75564 88158 96554 100752 117544 132237 144831 151128 176316 193108 235088 264474 289662 302256 337939 352632 386216 434493 528948 579324 675878 705264 772432 868986 1013817 1057896 1158648 1351756 1737972 2027634 2115792 2317296 2703512 3041451 3475944 4055268 5407024 6082902 6951888 8110536 12165804 16221072 24331608 48663216