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41422320 = 24335127151
BaseRepresentation
bin1001111000000…
…0110111110000
32212221110202000
42132000313300
541101003240
64035454000
71012040532
oct236006760
985843660
1041422320
1121422225
1211a57300
138774064
145703852
153983430
hex2780df0

41422320 has 160 divisors (see below), whose sum is σ = 144752640. Its totient is φ = 10886400.

The previous prime is 41422313. The next prime is 41422343. The reversal of 41422320 is 2322414.

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

It is a junction number, because it is equal to n+sod(n) for n = 41422293 and 41422302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 274245 + ... + 274395.

It is an arithmetic number, because the mean of its divisors is an integer number (904704).

Almost surely, 241422320 is an apocalyptic number.

41422320 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 41422320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72376320).

41422320 is an abundant number, since it is smaller than the sum of its proper divisors (103330320).

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

41422320 is a wasteful number, since it uses less digits than its factorization.

41422320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300 (or 288 counting only the distinct ones).

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

The square root of 41422320 is about 6436.0174020896. The cubic root of 41422320 is about 346.0016260629.

Adding to 41422320 its reverse (2322414), we get a palindrome (43744734).

The spelling of 41422320 in words is "forty-one million, four hundred twenty-two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 127 135 144 151 180 216 240 254 270 302 360 381 432 453 508 540 604 635 720 755 762 906 1016 1080 1143 1208 1270 1359 1510 1524 1812 1905 2032 2160 2265 2286 2416 2540 2718 3020 3048 3429 3624 3810 4077 4530 4572 5080 5436 5715 6040 6096 6795 6858 7248 7620 8154 9060 9144 10160 10872 11430 12080 13590 13716 15240 16308 17145 18120 18288 19177 20385 21744 22860 27180 27432 30480 32616 34290 36240 38354 40770 45720 54360 54864 57531 65232 68580 76708 81540 91440 95885 108720 115062 137160 153416 163080 172593 191770 230124 274320 287655 306832 326160 345186 383540 460248 517779 575310 690372 767080 862965 920496 1035558 1150620 1380744 1534160 1725930 2071116 2301240 2588895 2761488 3451860 4142232 4602480 5177790 6903720 8284464 10355580 13807440 20711160 41422320