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4381827648 = 2631110320143
BaseRepresentation
bin1000001010010110…
…10110001001000000
3102022101011220111220
410011023112021000
532433221441043
62002445435040
7213404630502
oct40513261100
912271156456
104381827648
111949477a70
12a2356ba80
1354aa6c733
142d7d47d72
151a9a49483
hex1052d6240

4381827648 has 112 divisors (see below), whose sum is σ = 12770973696. Its totient is φ = 1314869760.

The previous prime is 4381827647. The next prime is 4381827677. The reversal of 4381827648 is 8467281834.

It is a self number, because there is not a number n which added to its sum of digits gives 4381827648.

It is not an unprimeable number, because it can be changed into a prime (4381827643) by changing a digit.

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, 207465 + ... + 227607.

Almost surely, 24381827648 is an apocalyptic number.

4381827648 is a gapful number since it is divisible by the number (48) 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 4381827648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6385486848).

4381827648 is an abundant number, since it is smaller than the sum of its proper divisors (8389146048).

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

4381827648 is a wasteful number, since it uses less digits than its factorization.

4381827648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20272 (or 20262 counting only the distinct ones).

The product of its digits is 2064384, while the sum is 51.

The square root of 4381827648 is about 66195.3748233213. The cubic root of 4381827648 is about 1636.3835200996.

The spelling of 4381827648 in words is "four billion, three hundred eighty-one million, eight hundred twenty-seven thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 103 132 176 192 206 264 309 352 412 528 618 704 824 1056 1133 1236 1648 2112 2266 2472 3296 3399 4532 4944 6592 6798 9064 9888 13596 18128 19776 20143 27192 36256 40286 54384 60429 72512 80572 108768 120858 161144 217536 221573 241716 322288 443146 483432 644576 664719 886292 966864 1289152 1329438 1772584 1933728 2074729 2658876 3545168 3867456 4149458 5317752 6224187 7090336 8298916 10635504 12448374 14180672 16597832 21271008 22822019 24896748 33195664 42542016 45644038 49793496 66391328 68466057 91288076 99586992 132782656 136932114 182576152 199173984 273864228 365152304 398347968 547728456 730304608 1095456912 1460609216 2190913824 4381827648