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41226840 = 2333559647
BaseRepresentation
bin1001110101000…
…1001001011000
32212120112121000
42131101021120
541023224330
64031345000
71010264604
oct235211130
985515530
1041226840
11212a9376
1211982160
1387060a5
145692504
153945560
hex2751258

41226840 has 128 divisors (see below), whose sum is σ = 139968000. Its totient is φ = 10790784.

The previous prime is 41226839. The next prime is 41226851. The reversal of 41226840 is 4862214.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 63397 + ... + 64043.

It is an arithmetic number, because the mean of its divisors is an integer number (1093500).

Almost surely, 241226840 is an apocalyptic number.

41226840 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 41226840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69984000).

41226840 is an abundant number, since it is smaller than the sum of its proper divisors (98741160).

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

41226840 is a wasteful number, since it uses less digits than its factorization.

41226840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 726 (or 716 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 41226840 is about 6420.8130326307. The cubic root of 41226840 is about 345.4564845858.

The spelling of 41226840 in words is "forty-one million, two hundred twenty-six thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 59 60 72 90 108 118 120 135 177 180 216 236 270 295 354 360 472 531 540 590 647 708 885 1062 1080 1180 1294 1416 1593 1770 1941 2124 2360 2588 2655 3186 3235 3540 3882 4248 5176 5310 5823 6372 6470 7080 7764 7965 9705 10620 11646 12744 12940 15528 15930 17469 19410 21240 23292 25880 29115 31860 34938 38173 38820 46584 58230 63720 69876 76346 77640 87345 114519 116460 139752 152692 174690 190865 229038 232920 305384 343557 349380 381730 458076 572595 687114 698760 763460 916152 1030671 1145190 1374228 1526920 1717785 2061342 2290380 2748456 3435570 4122684 4580760 5153355 6871140 8245368 10306710 13742280 20613420 41226840