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41300226 = 23311233023
BaseRepresentation
bin1001110110001…
…1000100000010
32212201021021000
42131203010002
541033101401
64033112430
71011021552
oct235430402
985637230
1041300226
1121349520
12119b8716
138730606
1456b1162
15395c186
hex2763102

41300226 has 64 divisors (see below), whose sum is σ = 104509440. Its totient is φ = 11967120.

The previous prime is 41300137. The next prime is 41300227. The reversal of 41300226 is 62200314.

It is a happy number.

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 = 41300199 and 41300208.

It is not an unprimeable number, because it can be changed into a prime (41300227) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12151 + ... + 15173.

It is an arithmetic number, because the mean of its divisors is an integer number (1632960).

Almost surely, 241300226 is an apocalyptic number.

41300226 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 41300226, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52254720).

41300226 is an abundant number, since it is smaller than the sum of its proper divisors (63209214).

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

41300226 is a wasteful number, since it uses less digits than its factorization.

41300226 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3068 (or 3062 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 41300226 is about 6426.5251886225. The cubic root of 41300226 is about 345.6613401442.

The spelling of 41300226 in words is "forty-one million, three hundred thousand, two hundred twenty-six".

Divisors: 1 2 3 6 9 11 18 22 23 27 33 46 54 66 69 99 138 198 207 253 297 414 506 594 621 759 1242 1518 2277 3023 4554 6046 6831 9069 13662 18138 27207 33253 54414 66506 69529 81621 99759 139058 163242 199518 208587 299277 417174 598554 625761 764819 897831 1251522 1529638 1795662 1877283 2294457 3754566 4588914 6883371 13766742 20650113 41300226