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4281966 = 2321329631
BaseRepresentation
bin10000010101011001101110
322001112202100
4100111121232
52044010331
6231435530
751252603
oct20253156
98045670
104281966
112465117
121525ba6
13b6c010
147d66aa
15598ae6
hex41566e

4281966 has 48 divisors (see below), whose sum is σ = 10352160. Its totient is φ = 1270080.

The previous prime is 4281941. The next prime is 4281967. The reversal of 4281966 is 6691824.

It is a d-powerful number, because it can be written as 411 + 213 + 85 + 1 + 9 + 62 + 66 .

It is a self number, because there is not a number n which added to its sum of digits gives 4281966.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4281967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6471 + ... + 7101.

It is an arithmetic number, because the mean of its divisors is an integer number (215670).

Almost surely, 24281966 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4281966, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5176080).

4281966 is an abundant number, since it is smaller than the sum of its proper divisors (6070194).

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

4281966 is a wasteful number, since it uses less digits than its factorization.

4281966 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 681 (or 678 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 4281966 is about 2069.2911829900. The cubic root of 4281966 is about 162.3856837016.

The spelling of 4281966 in words is "four million, two hundred eighty-one thousand, nine hundred sixty-six".

Divisors: 1 2 3 6 9 13 18 26 29 39 58 78 87 117 174 234 261 377 522 631 754 1131 1262 1893 2262 3393 3786 5679 6786 8203 11358 16406 18299 24609 36598 49218 54897 73827 109794 147654 164691 237887 329382 475774 713661 1427322 2140983 4281966