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3938256 = 243273907
BaseRepresentation
bin1111000001011111010000
321102002021100
433001133100
52002011011
6220224400
745321540
oct17013720
97362240
103938256
11224a963
12139b100
13a7b73a
14747320
1552bd56
hex3c17d0

3938256 has 60 divisors (see below), whose sum is σ = 12599392. Its totient is φ = 1124928.

The previous prime is 3938251. The next prime is 3938257. The reversal of 3938256 is 6528393.

3938256 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 (36).

It is a self number, because there is not a number n which added to its sum of digits gives 3938256.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3938251) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 946 + ... + 2961.

Almost surely, 23938256 is an apocalyptic number.

3938256 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

3938256 is an abundant number, since it is smaller than the sum of its proper divisors (8661136).

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

3938256 is a wasteful number, since it uses less digits than its factorization.

3938256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3928 (or 3919 counting only the distinct ones).

The product of its digits is 38880, while the sum is 36.

The square root of 3938256 is about 1984.5039682500. The cubic root of 3938256 is about 157.9190954700.

It can be divided in two parts, 393 and 8256, that added together give a square (8649 = 932).

The spelling of 3938256 in words is "three million, nine hundred thirty-eight thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 504 1008 3907 7814 11721 15628 23442 27349 31256 35163 46884 54698 62512 70326 82047 93768 109396 140652 164094 187536 218792 246141 281304 328188 437584 492282 562608 656376 984564 1312752 1969128 3938256