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44064680 = 235111743137
BaseRepresentation
bin1010100000010…
…1111110101000
310001220201101012
42220011332220
542240032210
64212243052
71043354312
oct250057650
9101821335
1044064680
11229674a0
1212910488
13918a99a
145bd07b2
153d06305
hex2a05fa8

44064680 has 128 divisors (see below), whose sum is σ = 118039680. Its totient is φ = 14622720.

The previous prime is 44064673. The next prime is 44064707. The reversal of 44064680 is 8646044.

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, 321572 + ... + 321708.

It is an arithmetic number, because the mean of its divisors is an integer number (922185).

Almost surely, 244064680 is an apocalyptic number.

44064680 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 44064680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59019840).

44064680 is an abundant number, since it is smaller than the sum of its proper divisors (73975000).

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

44064680 is a wasteful number, since it uses less digits than its factorization.

44064680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

The square root of 44064680 is about 6638.1232287447. The cubic root of 44064680 is about 353.2077359065.

It can be divided in two parts, 44064 and 680, that added together give a palindrome (44744).

The spelling of 44064680 in words is "forty-four million, sixty-four thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 11 17 20 22 34 40 43 44 55 68 85 86 88 110 136 137 170 172 187 215 220 274 340 344 374 430 440 473 548 680 685 731 748 860 935 946 1096 1370 1462 1496 1507 1720 1870 1892 2329 2365 2740 2924 3014 3655 3740 3784 4658 4730 5480 5848 5891 6028 7310 7480 7535 8041 9316 9460 11645 11782 12056 14620 15070 16082 18632 18920 23290 23564 25619 29240 29455 30140 32164 40205 46580 47128 51238 58910 60280 64328 64801 80410 93160 100147 102476 117820 128095 129602 160820 200294 204952 235640 256190 259204 321640 324005 400588 500735 512380 518408 648010 801176 1001470 1024760 1101617 1296020 2002940 2203234 2592040 4005880 4406468 5508085 8812936 11016170 22032340 44064680