Search a number
-
+
4481245008 = 2432211147487
BaseRepresentation
bin1000010110001101…
…00101111101010000
3102120022020211111100
410023012211331100
533134144320013
62020400344400
7216022645152
oct41306457520
912508224440
104481245008
11199a600779
12a50915100
1356553ac86
14307226ad2
151b3636473
hex10b1a5f50

4481245008 has 60 divisors (see below), whose sum is σ = 12600784768. Its totient is φ = 1486658880.

The previous prime is 4481244991. The next prime is 4481245061. The reversal of 4481245008 is 8005421844.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 43360 + ... + 104127.

Almost surely, 24481245008 is an apocalyptic number.

4481245008 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

4481245008 is an abundant number, since it is smaller than the sum of its proper divisors (8119539760).

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

4481245008 is a wasteful number, since it uses less digits than its factorization.

4481245008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147712 (or 147703 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 36.

The square root of 4481245008 is about 66942.1019090378. The cubic root of 4481245008 is about 1648.6668150999. Note that the first 3 decimals are identical.

It can be divided in two parts, 448 and 1245008, that added together give a square (1245456 = 11162).

The spelling of 4481245008 in words is "four billion, four hundred eighty-one million, two hundred forty-five thousand, eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 211 422 633 844 1266 1688 1899 2532 3376 3798 5064 7596 10128 15192 30384 147487 294974 442461 589948 884922 1179896 1327383 1769844 2359792 2654766 3539688 5309532 7079376 10619064 21238128 31119757 62239514 93359271 124479028 186718542 248958056 280077813 373437084 497916112 560155626 746874168 1120311252 1493748336 2240622504 4481245008