Search a number
-
+
4405775904 = 253243934847
BaseRepresentation
bin1000001101001101…
…01100111000100000
3102101001020121100100
410012212230320200
533010334312104
62005103022400
7214115322465
oct40646547040
912331217310
104405775904
111960a44712
12a2b59aa00
13552a05cba
142db1bd66c
151abbca139
hex1069ace20

4405775904 has 72 divisors (see below), whose sum is σ = 12557825280. Its totient is φ = 1465204608.

The previous prime is 4405775863. The next prime is 4405775921. The reversal of 4405775904 is 4095775044.

4405775904 is a `hidden beast` number, since 4 + 4 + 0 + 57 + 7 + 590 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×44057759042 = 38821722632534034432, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4405775904.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 109009 + ... + 143855.

It is an arithmetic number, because the mean of its divisors is an integer number (174414240).

Almost surely, 24405775904 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 4405775904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6278912640).

4405775904 is an abundant number, since it is smaller than the sum of its proper divisors (8152049376).

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

4405775904 is a wasteful number, since it uses less digits than its factorization.

4405775904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35302 (or 35291 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The square root of 4405775904 is about 66376.0190430249. The cubic root of 4405775904 is about 1639.3592460192.

The spelling of 4405775904 in words is "four billion, four hundred five million, seven hundred seventy-five thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 439 878 1317 1756 2634 3512 3951 5268 7024 7902 10536 14048 15804 21072 31608 34847 42144 63216 69694 104541 126432 139388 209082 278776 313623 418164 557552 627246 836328 1115104 1254492 1672656 2508984 3345312 5017968 10035936 15297833 30595666 45893499 61191332 91786998 122382664 137680497 183573996 244765328 275360994 367147992 489530656 550721988 734295984 1101443976 1468591968 2202887952 4405775904