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3964842 = 233717617
BaseRepresentation
bin1111000111111110101010
321110102202000
433013332222
52003333332
6220551430
745462210
oct17077652
97412660
103964842
112268932
1213b2576
13a8a87b
14752cb0
15534b7c
hex3c7faa

3964842 has 64 divisors (see below), whose sum is σ = 10679040. Its totient is φ = 1064448.

The previous prime is 3964841. The next prime is 3964843. The reversal of 3964842 is 2484693.

It is a happy number.

3964842 is a `hidden beast` number, since 3 + 9 + 648 + 4 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (3964841) and next prime (3964843).

It is a junction number, because it is equal to n+sod(n) for n = 3964797 and 3964806.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3964841) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6118 + ... + 6734.

It is an arithmetic number, because the mean of its divisors is an integer number (166860).

Almost surely, 23964842 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3964842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5339520).

3964842 is an abundant number, since it is smaller than the sum of its proper divisors (6714198).

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

3964842 is a wasteful number, since it uses less digits than its factorization.

3964842 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 652 (or 646 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 3964842 is about 1991.1911008238. The cubic root of 3964842 is about 158.2736538394.

The spelling of 3964842 in words is "three million, nine hundred sixty-four thousand, eight hundred forty-two".

Divisors: 1 2 3 6 7 9 14 17 18 21 27 34 42 51 54 63 102 119 126 153 189 238 306 357 378 459 617 714 918 1071 1234 1851 2142 3213 3702 4319 5553 6426 8638 10489 11106 12957 16659 20978 25914 31467 33318 38871 62934 73423 77742 94401 116613 146846 188802 220269 233226 283203 440538 566406 660807 1321614 1982421 3964842