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647221072 = 242967109191
BaseRepresentation
bin100110100100111…
…100111101010000
31200002212020101211
4212210330331100
52311142033242
6144120105504
722016200621
oct4644747520
91602766354
10647221072
11302380853
12160905294
13a4120164
1461d59a48
153bc49317
hex2693cf50

647221072 has 80 divisors (see below), whose sum is σ = 1335628800. Its totient is φ = 303367680.

The previous prime is 647221051. The next prime is 647221103. The reversal of 647221072 is 270122746.

647221072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3388497 + ... + 3388687.

It is an arithmetic number, because the mean of its divisors is an integer number (16695360).

Almost surely, 2647221072 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 647221072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (667814400).

647221072 is an abundant number, since it is smaller than the sum of its proper divisors (688407728).

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

647221072 is a wasteful number, since it uses less digits than its factorization.

647221072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404 (or 398 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 31.

The square root of 647221072 is about 25440.5399313772. The cubic root of 647221072 is about 865.0028721212.

The spelling of 647221072 in words is "six hundred forty-seven million, two hundred twenty-one thousand, seventy-two".

Divisors: 1 2 4 8 16 29 58 67 109 116 134 191 218 232 268 382 436 464 536 764 872 1072 1528 1744 1943 3056 3161 3886 5539 6322 7303 7772 11078 12644 12797 14606 15544 20819 22156 25288 25594 29212 31088 41638 44312 50576 51188 58424 83276 88624 102376 116848 166552 204752 211787 333104 371113 423574 603751 742226 847148 1207502 1394873 1484452 1694296 2415004 2789746 2968904 3388592 4830008 5579492 5937808 9660016 11158984 22317968 40451317 80902634 161805268 323610536 647221072