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4444485552 = 24361329311
BaseRepresentation
bin1000010001110100…
…10111011110110000
3102110202002021000000
410020322113132300
533100242014202
62013004430000
7215065334553
oct41072273660
912422067000
104444485552
111980883861
12a40548300
1355aa3a410
143023b869a
151b02c491c
hex108e977b0

4444485552 has 140 divisors (see below), whose sum is σ = 13904498944. Its totient is φ = 1367487360.

The previous prime is 4444485541. The next prime is 4444485553. The reversal of 4444485552 is 2555844444.

It is a junction number, because it is equal to n+sod(n) for n = 4444485498 and 4444485507.

It is not an unprimeable number, because it can be changed into a prime (4444485553) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 136977 + ... + 166287.

Almost surely, 24444485552 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 4444485552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6952249472).

4444485552 is an abundant number, since it is smaller than the sum of its proper divisors (9460013392).

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

4444485552 is a wasteful number, since it uses less digits than its factorization.

4444485552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29350 (or 29329 counting only the distinct ones).

The product of its digits is 2048000, while the sum is 45.

The square root of 4444485552 is about 66666.9749726204. The cubic root of 4444485552 is about 1644.1464518688.

The spelling of 4444485552 in words is "four billion, four hundred forty-four million, four hundred eighty-five thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 81 104 108 117 144 156 162 208 216 234 243 312 324 351 432 468 486 624 648 702 729 936 972 1053 1296 1404 1458 1872 1944 2106 2808 2916 3159 3888 4212 5616 5832 6318 8424 9477 11664 12636 16848 18954 25272 29311 37908 50544 58622 75816 87933 117244 151632 175866 234488 263799 351732 381043 468976 527598 703464 762086 791397 1055196 1143129 1406928 1524172 1582794 2110392 2286258 2374191 3048344 3165588 3429387 4220784 4572516 4748382 6096688 6331176 6858774 7122573 9145032 9496764 10288161 12662352 13717548 14245146 18290064 18993528 20576322 21367719 27435096 28490292 30864483 37987056 41152644 42735438 54870192 56980584 61728966 82305288 85470876 92593449 113961168 123457932 164610576 170941752 185186898 246915864 277780347 341883504 370373796 493831728 555560694 740747592 1111121388 1481495184 2222242776 4444485552