Search a number
-
+
4441081960 = 235723229983
BaseRepresentation
bin1000010001011010…
…11000100001101000
3102110111200100011001
410020231120201220
533043404110320
62012403444344
7215024400550
oct41055304150
912414610131
104441081960
111979969677
12a3b3866b4
1355a118163
14301b70160
151aed5120a
hex108b58868

4441081960 has 96 divisors (see below), whose sum is σ = 11938429440. Its totient is φ = 1456405632.

The previous prime is 4441081951. The next prime is 4441081963. The reversal of 4441081960 is 691801444.

It is not an unprimeable number, because it can be changed into a prime (4441081963) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 133129 + ... + 163111.

It is an arithmetic number, because the mean of its divisors is an integer number (124358640).

Almost surely, 24441081960 is an apocalyptic number.

4441081960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4441081960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5969214720).

4441081960 is an abundant number, since it is smaller than the sum of its proper divisors (7497347480).

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

4441081960 is a wasteful number, since it uses less digits than its factorization.

4441081960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30047 (or 30020 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 37.

The square root of 4441081960 is about 66641.4432616821. The cubic root of 4441081960 is about 1643.7266482922.

The spelling of 4441081960 in words is "four billion, four hundred forty-one million, eighty-one thousand, nine hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 20 23 28 35 40 46 56 70 92 115 140 161 184 230 280 322 460 529 644 805 920 1058 1288 1610 2116 2645 3220 3703 4232 5290 6440 7406 10580 14812 18515 21160 29624 29983 37030 59966 74060 119932 148120 149915 209881 239864 299830 419762 599660 689609 839524 1049405 1199320 1379218 1679048 2098810 2758436 3448045 4197620 4827263 5516872 6896090 8395240 9654526 13792180 15861007 19309052 24136315 27584360 31722014 38618104 48272630 63444028 79305035 96545260 111027049 126888056 158610070 193090520 222054098 317220140 444108196 555135245 634440280 888216392 1110270490 2220540980 4441081960