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41409280 = 2851117173
BaseRepresentation
bin1001110111110…
…1101100000000
32212220210212001
42131331230000
541100044110
64035313344
71011654523
oct235755400
985823761
1041409280
1121413450
1211a4b854
13876b143
1456dcbba
15397e63a
hex277db00

41409280 has 144 divisors (see below), whose sum is σ = 115232544. Its totient is φ = 14090240.

The previous prime is 41409217. The next prime is 41409289. The reversal of 41409280 is 8290414.

41409280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41409289) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 239274 + ... + 239446.

It is an arithmetic number, because the mean of its divisors is an integer number (800226).

Almost surely, 241409280 is an apocalyptic number.

41409280 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 41409280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57616272).

41409280 is an abundant number, since it is smaller than the sum of its proper divisors (73823264).

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

41409280 is a wasteful number, since it uses less digits than its factorization.

41409280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

The square root of 41409280 is about 6435.0042735029. The cubic root of 41409280 is about 345.9653144421.

Adding to 41409280 its reverse (8290414), we get a palindrome (49699694).

It can be divided in two parts, 41409 and 280, that multiplied together give a triangular number (11594520 = T4815).

The spelling of 41409280 in words is "forty-one million, four hundred nine thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 11 16 17 20 22 32 34 40 44 55 64 68 80 85 88 110 128 136 160 170 173 176 187 220 256 272 320 340 346 352 374 440 544 640 680 692 704 748 865 880 935 1088 1280 1360 1384 1408 1496 1730 1760 1870 1903 2176 2720 2768 2816 2941 2992 3460 3520 3740 3806 4352 5440 5536 5882 5984 6920 7040 7480 7612 9515 10880 11072 11764 11968 13840 14080 14705 14960 15224 19030 21760 22144 23528 23936 27680 29410 29920 30448 32351 38060 44288 47056 47872 55360 58820 59840 60896 64702 76120 94112 110720 117640 119680 121792 129404 152240 161755 188224 221440 235280 239360 243584 258808 304480 323510 376448 470560 487168 517616 608960 647020 752896 941120 1035232 1217920 1294040 1882240 2070464 2435840 2588080 3764480 4140928 5176160 8281856 10352320 20704640 41409280