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4448685312 = 283217311161
BaseRepresentation
bin1000010010010100…
…11000110100000000
3102111000222121222200
410021022120310000
533102330412222
62013234433200
7215146126011
oct41112306400
912430877880
104448685312
111983192135
12a41a32800
1355b87ab96
14302b8d008
151b0853eac
hex109298d00

4448685312 has 108 divisors (see below), whose sum is σ = 12901954884. Its totient is φ = 1474191360.

The previous prime is 4448685281. The next prime is 4448685317. The reversal of 4448685312 is 2135868444.

It can be written as a sum of positive squares in 2 ways, for example, as 1874543616 + 2574141696 = 43296^2 + 50736^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4448685317) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 393012 + ... + 404172.

Almost surely, 24448685312 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 4448685312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6450977442).

4448685312 is an abundant number, since it is smaller than the sum of its proper divisors (8453269572).

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

4448685312 is a wasteful number, since it uses less digits than its factorization.

4448685312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11356 (or 11339 counting only the distinct ones).

The product of its digits is 737280, while the sum is 45.

The square root of 4448685312 is about 66698.4655895471. The cubic root of 4448685312 is about 1644.6641605835.

The spelling of 4448685312 in words is "four billion, four hundred forty-eight million, six hundred eighty-five thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 173 192 256 288 346 384 519 576 692 768 1038 1152 1384 1557 2076 2304 2768 3114 4152 5536 6228 8304 11072 11161 12456 16608 22144 22322 24912 33216 33483 44288 44644 49824 66432 66966 89288 99648 100449 132864 133932 178576 199296 200898 267864 357152 398592 401796 535728 714304 803592 1071456 1428608 1607184 1930853 2142912 2857216 3214368 3861706 4285824 5792559 6428736 7723412 8571648 11585118 12857472 15446824 17377677 23170236 25714944 30893648 34755354 46340472 61787296 69510708 92680944 123574592 139021416 185361888 247149184 278042832 370723776 494298368 556085664 741447552 1112171328 1482895104 2224342656 4448685312