Search a number
-
+
395671662 = 23331472107
BaseRepresentation
bin10111100101010…
…111100001101110
31000120112012111000
4113211113201232
51302242443122
6103132341130
712543103461
oct2745274156
91016465430
10395671662
11193389a81
12b06147a6
1363c87459
143a7992d8
1524b0b0ac
hex1795786e

395671662 has 96 divisors (see below), whose sum is σ = 936023040. Its totient is φ = 123752880.

The previous prime is 395671657. The next prime is 395671663. The reversal of 395671662 is 266176593.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

Its product of digits (408240) is a multiple of the sum of its prime factors (243).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (395671663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3697813 + ... + 3697919.

It is an arithmetic number, because the mean of its divisors is an integer number (9750240).

Almost surely, 2395671662 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 395671662, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (468011520).

395671662 is an abundant number, since it is smaller than the sum of its proper divisors (540351378).

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

395671662 is a wasteful number, since it uses less digits than its factorization.

395671662 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 190 counting only the distinct ones).

The product of its digits is 408240, while the sum is 45.

The square root of 395671662 is about 19891.4972287156. The cubic root of 395671662 is about 734.1390335216.

The spelling of 395671662 in words is "three hundred ninety-five million, six hundred seventy-one thousand, six hundred sixty-two".

Divisors: 1 2 3 6 9 18 27 31 47 54 62 93 94 107 141 186 214 279 282 321 423 558 642 837 846 963 1269 1457 1674 1926 2209 2538 2889 2914 3317 4371 4418 5029 5778 6627 6634 8742 9951 10058 13113 13254 15087 19881 19902 26226 29853 30174 39339 39762 45261 59643 59706 68479 78678 89559 90522 119286 135783 136958 155899 179118 205437 236363 271566 311798 410874 467697 472726 616311 709089 935394 1232622 1403091 1418178 1848933 2127267 2806182 3697866 4209273 4254534 6381801 7327253 8418546 12763602 14654506 21981759 43963518 65945277 131890554 197835831 395671662