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3835986 = 2371119223
BaseRepresentation
bin1110101000100001010010
321012212222120
432220201102
51440222421
6214115110
744414430
oct16504122
97185876
103835986
112190040
12134ba96
13a4401b
1471bd50
1550b8c6
hex3a8852

3835986 has 96 divisors (see below), whose sum is σ = 10533888. Its totient is φ = 902880.

The previous prime is 3835973. The next prime is 3835991. The reversal of 3835986 is 6895383.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a d-powerful number, because it can be written as 33 + 8 + 310 + 53 + 9 + 87 + 68 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 166771 + ... + 166793.

It is an arithmetic number, because the mean of its divisors is an integer number (109728).

Almost surely, 23835986 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3835986, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5266944).

3835986 is an abundant number, since it is smaller than the sum of its proper divisors (6697902).

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

3835986 is a wasteful number, since it uses less digits than its factorization.

3835986 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 65 counting only the distinct ones).

The product of its digits is 155520, while the sum is 42.

The square root of 3835986 is about 1958.5673335375. The cubic root of 3835986 is about 156.5401231560.

The spelling of 3835986 in words is "three million, eight hundred thirty-five thousand, nine hundred eighty-six".

Divisors: 1 2 3 6 7 11 14 19 21 22 23 33 38 42 46 57 66 69 77 114 133 138 154 161 209 231 253 266 322 361 399 418 437 462 483 506 627 722 759 798 874 966 1083 1254 1311 1463 1518 1771 2166 2527 2622 2926 3059 3542 3971 4389 4807 5054 5313 6118 7581 7942 8303 8778 9177 9614 10626 11913 14421 15162 16606 18354 23826 24909 27797 28842 33649 49818 55594 58121 67298 83391 91333 100947 116242 166782 174363 182666 201894 273999 348726 547998 639331 1278662 1917993 3835986