Search a number
-
+
3971816604 = 22327433591021
BaseRepresentation
bin1110110010111101…
…0001110010011100
3101020210200012002200
43230233101302130
531113241112404
61454041451500
7200265612150
oct35457216234
911223605080
103971816604
111758a94668
1292a1a0b90
134b3b34552
142996d9060
15183a59839
hexecbd1c9c

3971816604 has 144 divisors (see below), whose sum is σ = 11785213440. Its totient is φ = 1104243840.

The previous prime is 3971816603. The next prime is 3971816623. The reversal of 3971816604 is 4066181793.

It is a happy number.

3971816604 is a `hidden beast` number, since 39 + 7 + 1 + 8 + 1 + 6 + 604 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 3971816604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3971816603) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3889614 + ... + 3890634.

It is an arithmetic number, because the mean of its divisors is an integer number (81841760).

Almost surely, 23971816604 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 3971816604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5892606720).

3971816604 is an abundant number, since it is smaller than the sum of its proper divisors (7813396836).

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

3971816604 is a wasteful number, since it uses less digits than its factorization.

3971816604 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1440 (or 1435 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 3971816604 is about 63022.3500355231. The cubic root of 3971816604 is about 1583.6640653915.

The spelling of 3971816604 in words is "three billion, nine hundred seventy-one million, eight hundred sixteen thousand, six hundred four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 43 63 84 86 126 129 172 252 258 301 359 387 516 602 718 774 903 1021 1077 1204 1436 1548 1806 2042 2154 2513 2709 3063 3231 3612 4084 4308 5026 5418 6126 6462 7147 7539 9189 10052 10836 12252 12924 14294 15078 15437 18378 21441 22617 28588 30156 30874 36756 42882 43903 45234 46311 61748 64323 85764 87806 90468 92622 108059 128646 131709 138933 175612 185244 216118 257292 263418 277866 307321 324177 366539 395127 432236 526836 555732 614642 648354 733078 790254 921963 972531 1099617 1229284 1296708 1466156 1580508 1843926 1945062 2199234 2565773 2765889 3298851 3687852 3890124 4398468 5131546 5531778 6597702 7697319 10263092 11063556 13195404 15394638 15761177 23091957 30789276 31522354 46183914 47283531 63044708 92367828 94567062 110328239 141850593 189134124 220656478 283701186 330984717 441312956 567402372 661969434 992954151 1323938868 1985908302 3971816604