Search a number
-
+
4440419808 = 253114204943
BaseRepresentation
bin1000010001010101…
…10110110111100000
3102110110102200211220
410020222312313200
533043221413213
62012341335040
7215015642226
oct41052666740
912413380756
104440419808
111979557140
12a3b107480
13559c45956
14301a3ab16
151aec6ee23
hex108ab6de0

4440419808 has 48 divisors (see below), whose sum is σ = 12715750656. Its totient is φ = 1345581440.

The previous prime is 4440419801. The next prime is 4440419831. The reversal of 4440419808 is 8089140444.

It is a tau number, because it is divible by the number of its divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 4440419808.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4440419801) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2101416 + ... + 2103527.

It is an arithmetic number, because the mean of its divisors is an integer number (264911472).

Almost surely, 24440419808 is an apocalyptic number.

4440419808 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

4440419808 is an abundant number, since it is smaller than the sum of its proper divisors (8275330848).

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

4440419808 is a wasteful number, since it uses less digits than its factorization.

4440419808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4204967 (or 4204959 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 42.

The square root of 4440419808 is about 66636.4750568336. The cubic root of 4440419808 is about 1643.6449526608.

The spelling of 4440419808 in words is "four billion, four hundred forty million, four hundred nineteen thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 4204943 8409886 12614829 16819772 25229658 33639544 46254373 50459316 67279088 92508746 100918632 134558176 138763119 185017492 201837264 277526238 370034984 403674528 555052476 740069968 1110104952 1480139936 2220209904 4440419808