Search a number
-
+
3982216 = 237174789
BaseRepresentation
bin1111001100001110001000
321111022120111
433030032020
52004412331
6221204104
745563650
oct17141610
97438514
103982216
11227a997
121400634
13a95754
14759360
15539db1
hex3cc388

3982216 has 64 divisors (see below), whose sum is σ = 9331200. Its totient is φ = 1554432.

The previous prime is 3982201. The next prime is 3982247. The reversal of 3982216 is 6122893.

3982216 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

Its product of digits (5184) is a multiple of the sum of its prime divisors (162).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44700 + ... + 44788.

It is an arithmetic number, because the mean of its divisors is an integer number (145800).

Almost surely, 23982216 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 3982216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4665600).

3982216 is an abundant number, since it is smaller than the sum of its proper divisors (5348984).

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

3982216 is a wasteful number, since it uses less digits than its factorization.

3982216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 162 counting only the distinct ones).

The product of its digits is 5184, while the sum is 31.

The square root of 3982216 is about 1995.5490472549. The cubic root of 3982216 is about 158.5045028525.

The spelling of 3982216 in words is "three million, nine hundred eighty-two thousand, two hundred sixteen".

Divisors: 1 2 4 7 8 14 17 28 34 47 56 68 89 94 119 136 178 188 238 329 356 376 476 623 658 712 799 952 1246 1316 1513 1598 2492 2632 3026 3196 4183 4984 5593 6052 6392 8366 10591 11186 12104 16732 21182 22372 29281 33464 42364 44744 58562 71111 84728 117124 142222 234248 284444 497777 568888 995554 1991108 3982216