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41685468 = 223112191511
BaseRepresentation
bin1001111100000…
…1000111011100
32220102211201020
42133001013130
541132413333
64045244140
71014214656
oct237010734
986384636
1041685468
1121591a00
1211b63650
138836a76
1457716d6
1539d63b3
hex27c11dc

41685468 has 72 divisors (see below), whose sum is σ = 112613760. Its totient is φ = 11959200.

The previous prime is 41685467. The next prime is 41685473. The reversal of 41685468 is 86458614.

41685468 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41685461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26833 + ... + 28343.

It is an arithmetic number, because the mean of its divisors is an integer number (1564080).

Almost surely, 241685468 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41685468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56306880).

41685468 is an abundant number, since it is smaller than the sum of its proper divisors (70928292).

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

41685468 is a wasteful number, since it uses less digits than its factorization.

41685468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1559 (or 1546 counting only the distinct ones).

The product of its digits is 184320, while the sum is 42.

The square root of 41685468 is about 6456.4284244464. The cubic root of 41685468 is about 346.7327738000.

The spelling of 41685468 in words is "forty-one million, six hundred eighty-five thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 11 12 19 22 33 38 44 57 66 76 114 121 132 209 228 242 363 418 484 627 726 836 1254 1452 1511 2299 2508 3022 4533 4598 6044 6897 9066 9196 13794 16621 18132 27588 28709 33242 49863 57418 66484 86127 99726 114836 172254 182831 199452 315799 344508 365662 548493 631598 731324 947397 1096986 1263196 1894794 2193972 3473789 3789588 6947578 10421367 13895156 20842734 41685468