Search a number
-
+
4808446128 = 2432194094297
BaseRepresentation
bin1000111101001101…
…10001000010110000
3110102002221101001100
410132212301002300
534321430234003
62113045404400
7230105055243
oct43646610260
913362841040
104808446128
112048273822
12b22409700
135b8270ac5
1433887b25a
151d2219ba3
hex11e9b10b0

4808446128 has 120 divisors (see below), whose sum is σ = 14203170800. Its totient is φ = 1514391552.

The previous prime is 4808446121. The next prime is 4808446157. The reversal of 4808446128 is 8216448084.

4808446128 is a `hidden beast` number, since 4 + 80 + 8 + 446 + 128 = 666.

It is a super-3 number, since 3×48084461283 (a number of 30 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (4808446121) 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, 1116876 + ... + 1121172.

Almost surely, 24808446128 is an apocalyptic number.

4808446128 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 4808446128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7101585400).

4808446128 is an abundant number, since it is smaller than the sum of its proper divisors (9394724672).

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

4808446128 is a wasteful number, since it uses less digits than its factorization.

4808446128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4739 (or 4730 counting only the distinct ones).

The product of its (nonzero) digits is 393216, while the sum is 45.

The square root of 4808446128 is about 69342.9601906351. The cubic root of 4808446128 is about 1687.8541592140.

The spelling of 4808446128 in words is "four billion, eight hundred eight million, four hundred forty-six thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 36 38 48 57 72 76 114 144 152 171 228 304 342 409 456 684 818 912 1227 1368 1636 2454 2736 3272 3681 4297 4908 6544 7362 7771 8594 9816 12891 14724 15542 17188 19632 23313 25782 29448 31084 34376 38673 46626 51564 58896 62168 68752 69939 77346 81643 93252 103128 124336 139878 154692 163286 186504 206256 244929 279756 309384 326572 373008 489858 559512 618768 653144 734787 979716 1119024 1306288 1469574 1757473 1959432 2939148 3514946 3918864 5272419 5878296 7029892 10544838 11756592 14059784 15817257 21089676 28119568 31634514 33391987 42179352 63269028 66783974 84358704 100175961 126538056 133567948 200351922 253076112 267135896 300527883 400703844 534271792 601055766 801407688 1202111532 1602815376 2404223064 4808446128