[go: up one dir, main page]

Search a number
-
+
4402105540 = 225747897517
BaseRepresentation
bin1000001100110001…
…01100110011000100
3102100210100010112221
410012120230303010
533003414334130
62004452222124
7214042164640
oct40630546304
912323303487
104402105540
111959968058
12a2a30a944
1355201c4a1
142da905c20
151ab70287a
hex10662ccc4

4402105540 has 96 divisors (see below), whose sum is σ = 10912527360. Its totient is φ = 1460388864.

The previous prime is 4402105531. The next prime is 4402105571. The reversal of 4402105540 is 455012044.

It is a happy number.

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 31 ways as a sum of consecutive naturals, for example, 581862 + ... + 589378.

It is an arithmetic number, because the mean of its divisors is an integer number (113672160).

Almost surely, 24402105540 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 4402105540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5456263680).

4402105540 is an abundant number, since it is smaller than the sum of its proper divisors (6510421820).

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

4402105540 is a wasteful number, since it uses less digits than its factorization.

4402105540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7669 (or 7667 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 25.

The square root of 4402105540 is about 66348.3650137665. The cubic root of 4402105540 is about 1638.9038803842.

Adding to 4402105540 its reverse (455012044), we get a palindrome (4857117584).

The spelling of 4402105540 in words is "four billion, four hundred two million, one hundred five thousand, five hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 47 70 89 94 140 178 188 235 329 356 445 470 623 658 890 940 1246 1316 1645 1780 2492 3115 3290 4183 6230 6580 7517 8366 12460 15034 16732 20915 29281 30068 37585 41830 52619 58562 75170 83660 105238 117124 146405 150340 210476 263095 292810 353299 526190 585620 669013 706598 1052380 1338026 1413196 1766495 2473093 2676052 3345065 3532990 4683091 4946186 6690130 7065980 9366182 9892372 12365465 13380260 18732364 23415455 24730930 31443611 46830910 49461860 62887222 93661820 125774444 157218055 220105277 314436110 440210554 628872220 880421108 1100526385 2201052770 4402105540