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4442240660 = 22511131981749
BaseRepresentation
bin1000010001100011…
…10011011010010100
3102110120212012120212
410020301303122110
533044203200120
62012444344552
7215040264644
oct41061633224
912416765525
104442240660
11197a590180
12a3b845158
1355a432690
14301d92524
151aeece6c5
hex108c73694

4442240660 has 96 divisors (see below), whose sum is σ = 11536560000. Its totient is φ = 1412605440.

The previous prime is 4442240597. The next prime is 4442240771. The reversal of 4442240660 is 660422444.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13466 + ... + 95214.

It is an arithmetic number, because the mean of its divisors is an integer number (120172500).

Almost surely, 24442240660 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 4442240660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5768280000).

4442240660 is an abundant number, since it is smaller than the sum of its proper divisors (7094319340).

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

4442240660 is a wasteful number, since it uses less digits than its factorization.

4442240660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81801 (or 81799 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

The square root of 4442240660 is about 66650.1362339193. The cubic root of 4442240660 is about 1643.8695879684.

The spelling of 4442240660 in words is "four billion, four hundred forty-two million, two hundred forty thousand, six hundred sixty".

Divisors: 1 2 4 5 10 11 13 19 20 22 26 38 44 52 55 65 76 95 110 130 143 190 209 220 247 260 286 380 418 494 572 715 836 988 1045 1235 1430 2090 2470 2717 2860 4180 4940 5434 10868 13585 27170 54340 81749 163498 326996 408745 817490 899239 1062737 1553231 1634980 1798478 2125474 3106462 3596956 4250948 4496195 5313685 6212924 7766155 8992390 10627370 11690107 15532310 17085541 17984780 20192003 21254740 23380214 31064620 34171082 40384006 46760428 58450535 68342164 80768012 85427705 100960015 116901070 170855410 201920030 222112033 233802140 341710820 403840060 444224066 888448132 1110560165 2221120330 4442240660