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41376000 = 28353431
BaseRepresentation
bin1001110111010…
…1100100000000
32212212010012110
42131311210000
541043013000
64034455320
71011455511
oct235654400
985763173
1041376000
11213a0446
1211a34540
138758c53
1456d0a08
153974850
hex2775900

41376000 has 144 divisors (see below), whose sum is σ = 137749248. Its totient is φ = 11008000.

The previous prime is 41375989. The next prime is 41376001. The reversal of 41376000 is 67314.

It is not an unprimeable number, because it can be changed into a prime (41376001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 95785 + ... + 96215.

It is an arithmetic number, because the mean of its divisors is an integer number (956592).

Almost surely, 241376000 is an apocalyptic number.

41376000 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 41376000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68874624).

41376000 is an abundant number, since it is smaller than the sum of its proper divisors (96373248).

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

41376000 is an equidigital number, since it uses as much as digits as its factorization.

41376000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 465 (or 441 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 21.

The square root of 41376000 is about 6432.4178968721. The cubic root of 41376000 is about 345.8726072718.

The spelling of 41376000 in words is "forty-one million, three hundred seventy-six thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 125 128 150 160 192 200 240 250 256 300 320 375 384 400 431 480 500 600 640 750 768 800 862 960 1000 1200 1280 1293 1500 1600 1724 1920 2000 2155 2400 2586 3000 3200 3448 3840 4000 4310 4800 5172 6000 6400 6465 6896 8000 8620 9600 10344 10775 12000 12930 13792 16000 17240 19200 20688 21550 24000 25860 27584 32000 32325 34480 41376 43100 48000 51720 53875 55168 64650 68960 82752 86200 96000 103440 107750 110336 129300 137920 161625 165504 172400 206880 215500 258600 275840 323250 331008 344800 413760 431000 517200 551680 646500 689600 827520 862000 1034400 1293000 1379200 1655040 1724000 2068800 2586000 2758400 3448000 4137600 5172000 6896000 8275200 10344000 13792000 20688000 41376000