Search a number
-
+
3979668 = 2237115973
BaseRepresentation
bin1111001011100110010100
321111012002010
433023212110
52004322133
6221144220
745553350
oct17134624
97435063
103979668
112278a90
1213bb070
13a94544
14758460
15539263
hex3cb994

3979668 has 96 divisors (see below), whose sum is σ = 11934720. Its totient is φ = 1002240.

The previous prime is 3979663. The next prime is 3979669. The reversal of 3979668 is 8669793.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3979663) 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, 54480 + ... + 54552.

It is an arithmetic number, because the mean of its divisors is an integer number (124320).

Almost surely, 23979668 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3979668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5967360).

3979668 is an abundant number, since it is smaller than the sum of its proper divisors (7955052).

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

3979668 is a wasteful number, since it uses less digits than its factorization.

3979668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 155 counting only the distinct ones).

The product of its digits is 489888, while the sum is 48.

The square root of 3979668 is about 1994.9105243093. The cubic root of 3979668 is about 158.4706895484.

The spelling of 3979668 in words is "three million, nine hundred seventy-nine thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 59 66 73 77 84 118 132 146 154 177 219 231 236 292 308 354 413 438 462 511 649 708 803 826 876 924 1022 1239 1298 1533 1606 1652 1947 2044 2409 2478 2596 3066 3212 3894 4307 4543 4818 4956 5621 6132 7788 8614 9086 9636 11242 12921 13629 16863 17228 18172 22484 25842 27258 30149 33726 47377 51684 54516 60298 67452 90447 94754 120596 142131 180894 189508 284262 331639 361788 568524 663278 994917 1326556 1989834 3979668