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7993986 = 23711413
BaseRepresentation
bin11110011111101010000010
3120001010200120
4132133222002
54021301421
6443201110
7124643040
oct36375202
916033616
107993986
114570000
122816196
13186b790
1410c1390
15a7d8c6
hex79fa82

7993986 has 80 divisors (see below), whose sum is σ = 21645120. Its totient is φ = 1916640.

The previous prime is 7993967. The next prime is 7993987. The reversal of 7993986 is 6893997.

Its product of digits (734832) is a multiple of the sum of its prime divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7993987) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 614916 + ... + 614928.

It is an arithmetic number, because the mean of its divisors is an integer number (270564).

Almost surely, 27993986 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7993986, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10822560).

7993986 is an abundant number, since it is smaller than the sum of its proper divisors (13651134).

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

7993986 is a wasteful number, since it uses less digits than its factorization.

7993986 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69 (or 36 counting only the distinct ones).

The product of its digits is 734832, while the sum is 51.

The square root of 7993986 is about 2827.3637898226. The cubic root of 7993986 is about 199.9498707697.

The spelling of 7993986 in words is "seven million, nine hundred ninety-three thousand, nine hundred eighty-six".

Divisors: 1 2 3 6 7 11 13 14 21 22 26 33 39 42 66 77 78 91 121 143 154 182 231 242 273 286 363 429 462 546 726 847 858 1001 1331 1573 1694 2002 2541 2662 3003 3146 3993 4719 5082 6006 7986 9317 9438 11011 14641 17303 18634 22022 27951 29282 33033 34606 43923 51909 55902 66066 87846 102487 103818 121121 190333 204974 242242 307461 363363 380666 570999 614922 726726 1141998 1332331 2664662 3996993 7993986