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84905946 = 23219409607
BaseRepresentation
bin1010000111110…
…00111111011010
312220202200001200
411003320333122
5133213442241
612231455030
72050455126
oct503707732
9186680050
1084905946
1143a22104
1224527476
131478a408
14b3c2586
1576c24b6
hex50f8fda

84905946 has 48 divisors (see below), whose sum is σ = 194438400. Its totient is φ = 26702784.

The previous prime is 84905917. The next prime is 84905959. The reversal of 84905946 is 64950948.

It is a happy 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, 139575 + ... + 140181.

It is an arithmetic number, because the mean of its divisors is an integer number (4050800).

Almost surely, 284905946 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84905946, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97219200).

84905946 is an abundant number, since it is smaller than the sum of its proper divisors (109532454).

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

84905946 is a wasteful number, since it uses less digits than its factorization.

84905946 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1043 (or 1040 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 84905946 is about 9214.4422511620. The cubic root of 84905946 is about 439.5207350427.

The spelling of 84905946 in words is "eighty-four million, nine hundred five thousand, nine hundred forty-six".

Divisors: 1 2 3 6 9 18 19 38 57 114 171 342 409 607 818 1214 1227 1821 2454 3642 3681 5463 7362 7771 10926 11533 15542 23066 23313 34599 46626 69198 69939 103797 139878 207594 248263 496526 744789 1489578 2234367 4468734 4716997 9433994 14150991 28301982 42452973 84905946