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385221648 = 243710311131
BaseRepresentation
bin10110111101100…
…000010000010000
3222211212021202110
4112331200100100
51242104043043
6102120345320
712355221120
oct2675402020
9884767673
10385221648
111884a17a9
12a9015240
1361a68b06
1439238c80
1523c44b33
hex16f60410

385221648 has 80 divisors (see below), whose sum is σ = 1148466176. Its totient is φ = 108984960.

The previous prime is 385221611. The next prime is 385221671. The reversal of 385221648 is 846122583.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29043 + ... + 40173.

Almost surely, 2385221648 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 385221648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (574233088).

385221648 is an abundant number, since it is smaller than the sum of its proper divisors (763244528).

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

385221648 is a wasteful number, since it uses less digits than its factorization.

385221648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11252 (or 11246 counting only the distinct ones).

The product of its digits is 92160, while the sum is 39.

The square root of 385221648 is about 19627.0641716992. The cubic root of 385221648 is about 727.6182134515.

The spelling of 385221648 in words is "three hundred eighty-five million, two hundred twenty-one thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 103 112 168 206 309 336 412 618 721 824 1236 1442 1648 2163 2472 2884 4326 4944 5768 8652 11131 11536 17304 22262 33393 34608 44524 66786 77917 89048 133572 155834 178096 233751 267144 311668 467502 534288 623336 935004 1146493 1246672 1870008 2292986 3439479 3740016 4585972 6878958 8025451 9171944 13757916 16050902 18343888 24076353 27515832 32101804 48152706 55031664 64203608 96305412 128407216 192610824 385221648