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41268006 = 23213315689
BaseRepresentation
bin1001110101101…
…1001100100110
32212122122001200
42131123030212
541031034011
64032303330
71010525613
oct235331446
985578050
1041268006
112132729a
12119a1b46
13871ba50
1456a350a
153952856
hex275b326

41268006 has 48 divisors (see below), whose sum is σ = 99415680. Its totient is φ = 12286080.

The previous prime is 41267999. The next prime is 41268067. The reversal of 41268006 is 60086214.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4410 + ... + 10098.

It is an arithmetic number, because the mean of its divisors is an integer number (2071160).

Almost surely, 241268006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41268006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49707840).

41268006 is an abundant number, since it is smaller than the sum of its proper divisors (58147674).

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

41268006 is a wasteful number, since it uses less digits than its factorization.

41268006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5741 (or 5738 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 41268006 is about 6424.0179015940. The cubic root of 41268006 is about 345.5714285633.

The spelling of 41268006 in words is "forty-one million, two hundred sixty-eight thousand, six".

Divisors: 1 2 3 6 9 13 18 26 31 39 62 78 93 117 186 234 279 403 558 806 1209 2418 3627 5689 7254 11378 17067 34134 51201 73957 102402 147914 176359 221871 352718 443742 529077 665613 1058154 1331226 1587231 2292667 3174462 4585334 6878001 13756002 20634003 41268006