Search a number
-
+
3981208 = 2371123281
BaseRepresentation
bin1111001011111110011000
321111021012011
433023332120
52004344313
6221155304
745561010
oct17137630
97437164
103981208
11227a160
1213bbb34
13a9515a
14758c40
1553993d
hex3cbf98

3981208 has 64 divisors (see below), whose sum is σ = 9745920. Its totient is φ = 1478400.

The previous prime is 3981193. The next prime is 3981209. The reversal of 3981208 is 8021893.

3981208 = T7 + T8 + ... + T287.

It is a Smith number, since the sum of its digits (31) 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 3981208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3981209) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14028 + ... + 14308.

It is an arithmetic number, because the mean of its divisors is an integer number (152280).

Almost surely, 23981208 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 3981208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4872960).

3981208 is an abundant number, since it is smaller than the sum of its proper divisors (5764712).

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

3981208 is a wasteful number, since it uses less digits than its factorization.

3981208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 31.

The square root of 3981208 is about 1995.2964691995. The cubic root of 3981208 is about 158.4911278856.

The spelling of 3981208 in words is "three million, nine hundred eighty-one thousand, two hundred eight".

Divisors: 1 2 4 7 8 11 14 22 23 28 44 46 56 77 88 92 154 161 184 253 281 308 322 506 562 616 644 1012 1124 1288 1771 1967 2024 2248 3091 3542 3934 6182 6463 7084 7868 12364 12926 14168 15736 21637 24728 25852 43274 45241 51704 71093 86548 90482 142186 173096 180964 284372 361928 497651 568744 995302 1990604 3981208