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3882256 = 247172039
BaseRepresentation
bin1110110011110100010000
321022020110021
432303310100
51443213011
6215113224
744666350
oct16636420
97266407
103882256
112211884
121372814
13a5c0c1
14730b60
1551a471
hex3b3d10

3882256 has 40 divisors (see below), whose sum is σ = 9106560. Its totient is φ = 1565184.

The previous prime is 3882233. The next prime is 3882311. The reversal of 3882256 is 6522883.

3882256 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 885 + ... + 2923.

It is an arithmetic number, because the mean of its divisors is an integer number (227664).

Almost surely, 23882256 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 3882256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4553280).

3882256 is an abundant number, since it is smaller than the sum of its proper divisors (5224304).

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

3882256 is a wasteful number, since it uses less digits than its factorization.

3882256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2071 (or 2065 counting only the distinct ones).

The product of its digits is 23040, while the sum is 34.

The square root of 3882256 is about 1970.3441323789. The cubic root of 3882256 is about 157.1670095895.

The spelling of 3882256 in words is "three million, eight hundred eighty-two thousand, two hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 17 28 34 56 68 112 119 136 238 272 476 952 1904 2039 4078 8156 14273 16312 28546 32624 34663 57092 69326 114184 138652 228368 242641 277304 485282 554608 970564 1941128 3882256