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41075280 = 2432589641
BaseRepresentation
bin1001110010110…
…0001001010000
32212021211200200
42130230021100
541003402110
64024215200
71006064001
oct234541120
985254620
1041075280
1121205514
121190a500
1386820cc
1456531a8
1539156c0
hex272c250

41075280 has 120 divisors (see below), whose sum is σ = 139712040. Its totient is φ = 10813440.

The previous prime is 41075273. The next prime is 41075299. The reversal of 41075280 is 8257014.

It is a Cunningham number, because it is equal to 64092-1.

It can be written as a sum of positive squares in 4 ways, for example, as 5934096 + 35141184 = 2436^2 + 5928^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 63760 + ... + 64400.

It is an arithmetic number, because the mean of its divisors is an integer number (1164267).

Almost surely, 241075280 is an apocalyptic number.

41075280 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 41075280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69856020).

41075280 is an abundant number, since it is smaller than the sum of its proper divisors (98636760).

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

41075280 is a wasteful number, since it uses less digits than its factorization.

41075280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 749 (or 740 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 41075280 is about 6408.9999219847. Note that the first 4 decimals coincide. The cubic root of 41075280 is about 345.0326371141.

The spelling of 41075280 in words is "forty-one million, seventy-five thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 89 90 120 144 178 180 240 267 356 360 445 534 641 712 720 801 890 1068 1282 1335 1424 1602 1780 1923 2136 2564 2670 3204 3205 3560 3846 4005 4272 5128 5340 5769 6408 6410 7120 7692 8010 9615 10256 10680 11538 12816 12820 15384 16020 19230 21360 23076 25640 28845 30768 32040 38460 46152 51280 57049 57690 64080 76920 92304 114098 115380 153840 171147 228196 230760 285245 342294 456392 461520 513441 570490 684588 855735 912784 1026882 1140980 1369176 1711470 2053764 2281960 2567205 2738352 3422940 4107528 4563920 5134410 6845880 8215056 10268820 13691760 20537640 41075280