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41964966 = 234833121
BaseRepresentation
bin1010000000010…
…1010110100110
32220222001010000
42200011112212
541220334331
64055242130
71016460561
oct240052646
986861100
1041964966
112176299a
1212079346
138904054
1458054d8
153a3e0e6
hex28055a6

41964966 has 40 divisors (see below), whose sum is σ = 95196024. Its totient is φ = 13815360.

The previous prime is 41964961. The next prime is 41964973. The reversal of 41964966 is 66946914.

It is a super-2 number, since 2×419649662 = 3522116742762312, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41964961) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 11886 + ... + 15006.

Almost surely, 241964966 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41964966, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47598012).

41964966 is an abundant number, since it is smaller than the sum of its proper divisors (53231058).

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

41964966 is a wasteful number, since it uses less digits than its factorization.

41964966 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3218 (or 3209 counting only the distinct ones).

The product of its digits is 279936, while the sum is 45.

The square root of 41964966 is about 6478.0372027336. The cubic root of 41964966 is about 347.5059875096.

The spelling of 41964966 in words is "forty-one million, nine hundred sixty-four thousand, nine hundred sixty-six".

Divisors: 1 2 3 6 9 18 27 54 81 83 162 166 249 498 747 1494 2241 3121 4482 6242 6723 9363 13446 18726 28089 56178 84267 168534 252801 259043 505602 518086 777129 1554258 2331387 4662774 6994161 13988322 20982483 41964966