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41243400 = 233252112083
BaseRepresentation
bin1001110101010…
…1001100001000
32212121101022100
42131111030020
541024242100
64031553400
71010364102
oct235251410
985541270
1041243400
112130a860
121198b860
1387107a3
145698572
15394a400
hex2755308

41243400 has 144 divisors (see below), whose sum is σ = 151173360. Its totient is φ = 9993600.

The previous prime is 41243399. The next prime is 41243413. The reversal of 41243400 is 434214.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 18759 + ... + 20841.

It is an arithmetic number, because the mean of its divisors is an integer number (1049815).

Almost surely, 241243400 is an apocalyptic number.

41243400 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 41243400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75586680).

41243400 is an abundant number, since it is smaller than the sum of its proper divisors (109929960).

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

41243400 is a wasteful number, since it uses less digits than its factorization.

41243400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2116 (or 2104 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 41243400 is about 6422.1024594754. The cubic root of 41243400 is about 345.5027327224.

Adding to 41243400 its reverse (434214), we get a palindrome (41677614).

The spelling of 41243400 in words is "forty-one million, two hundred forty-three thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 25 30 33 36 40 44 45 50 55 60 66 72 75 88 90 99 100 110 120 132 150 165 180 198 200 220 225 264 275 300 330 360 396 440 450 495 550 600 660 792 825 900 990 1100 1320 1650 1800 1980 2083 2200 2475 3300 3960 4166 4950 6249 6600 8332 9900 10415 12498 16664 18747 19800 20830 22913 24996 31245 37494 41660 45826 49992 52075 62490 68739 74988 83320 91652 93735 104150 114565 124980 137478 149976 156225 183304 187470 206217 208300 229130 249960 274956 312450 343695 374940 412434 416600 458260 468675 549912 572825 624900 687390 749880 824868 916520 937350 1031085 1145650 1249800 1374780 1649736 1718475 1874700 2062170 2291300 2749560 3436950 3749400 4124340 4582600 5155425 6873900 8248680 10310850 13747800 20621700 41243400