Search a number
-
+
41745780 = 2234573353
BaseRepresentation
bin1001111100111…
…1110101110100
32220112220110000
42133033311310
541141331110
64050431300
71014555546
oct237176564
986486400
1041745780
112162324a
1211b92530
13885835b
145789696
1539e91c0
hex27cfd74

41745780 has 120 divisors (see below), whose sum is σ = 133128072. Its totient is φ = 10948608.

The previous prime is 41745751. The next prime is 41745791. The reversal of 41745780 is 8754714.

It can be written as a sum of positive squares in 4 ways, for example, as 3849444 + 37896336 = 1962^2 + 6156^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 118084 + ... + 118436.

Almost surely, 241745780 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 41745780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66564036).

41745780 is an abundant number, since it is smaller than the sum of its proper divisors (91382292).

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

41745780 is a wasteful number, since it uses less digits than its factorization.

41745780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 447 (or 436 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 36.

The square root of 41745780 is about 6461.0974300037. The cubic root of 41745780 is about 346.8999149379.

The spelling of 41745780 in words is "forty-one million, seven hundred forty-five thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 73 81 90 108 135 146 162 180 219 270 292 324 353 365 405 438 540 657 706 730 810 876 1059 1095 1314 1412 1460 1620 1765 1971 2118 2190 2628 3177 3285 3530 3942 4236 4380 5295 5913 6354 6570 7060 7884 9531 9855 10590 11826 12708 13140 15885 19062 19710 21180 23652 25769 28593 29565 31770 38124 39420 47655 51538 57186 59130 63540 77307 95310 103076 114372 118260 128845 142965 154614 190620 231921 257690 285930 309228 386535 463842 515380 571860 695763 773070 927684 1159605 1391526 1546140 2087289 2319210 2783052 3478815 4174578 4638420 6957630 8349156 10436445 13915260 20872890 41745780