Search a number
-
+
3947706 = 2327171997
BaseRepresentation
bin1111000011110010111010
321102120020100
433003302322
52002311311
6220340230
745361230
oct17036272
97376210
103947706
112256a74
1213a4676
13a82b29
1474a950
1552ea56
hex3c3cba

3947706 has 96 divisors (see below), whose sum is σ = 11007360. Its totient is φ = 995328.

The previous prime is 3947693. The next prime is 3947747. The reversal of 3947706 is 6077493.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 40650 + ... + 40746.

It is an arithmetic number, because the mean of its divisors is an integer number (114660).

Almost surely, 23947706 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3947706, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5503680).

3947706 is an abundant number, since it is smaller than the sum of its proper divisors (7059654).

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

3947706 is a wasteful number, since it uses less digits than its factorization.

3947706 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

The square root of 3947706 is about 1986.8834892867. The cubic root of 3947706 is about 158.0453055997.

It can be divided in two parts, 394 and 7706, that added together give a square (8100 = 902).

The spelling of 3947706 in words is "three million, nine hundred forty-seven thousand, seven hundred six".

Divisors: 1 2 3 6 7 9 14 17 18 19 21 34 38 42 51 57 63 97 102 114 119 126 133 153 171 194 238 266 291 306 323 342 357 399 582 646 679 714 798 873 969 1071 1197 1358 1649 1746 1843 1938 2037 2142 2261 2394 2907 3298 3686 4074 4522 4947 5529 5814 6111 6783 9894 11058 11543 12222 12901 13566 14841 16587 20349 23086 25802 29682 31331 33174 34629 38703 40698 62662 69258 77406 93993 103887 116109 187986 207774 219317 232218 281979 438634 563958 657951 1315902 1973853 3947706