Search a number
-
+
3786752 = 211432
BaseRepresentation
bin1110011100100000000000
321010101110002
432130200000
51432134002
6213055132
744121044
oct16344000
97111402
103786752
112157052
1213274a8
13a277a8
14708024
154ec002
hex39c800

3786752 has 36 divisors (see below), whose sum is σ = 7751835. Its totient is φ = 1849344.

The previous prime is 3786751. The next prime is 3786779. The reversal of 3786752 is 2576873.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

3786752 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 1893376 + 1893376 = 1376^2 + 1376^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=1376.

It is a d-powerful number, because it can be written as 39 + 73 + 83 + 68 + 74 + 59 + 217 .

It is a Duffinian number.

Its product of digits (70560) is a multiple of the sum of its prime divisors (45).

It is not an unprimeable number, because it can be changed into a prime (3786751) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 88043 + ... + 88085.

Almost surely, 23786752 is an apocalyptic number.

3786752 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3786752

3786752 is an abundant number, since it is smaller than the sum of its proper divisors (3965083).

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

3786752 is an frugal number, since it uses more digits than its factorization.

3786752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 45 counting only the distinct ones).

The product of its digits is 70560, while the sum is 38.

The square root of 3786752 is about 1945.9578618254. The cubic root of 3786752 is about 155.8675184677.

The spelling of 3786752 in words is "three million, seven hundred eighty-six thousand, seven hundred fifty-two".

Divisors: 1 2 4 8 16 32 43 64 86 128 172 256 344 512 688 1024 1376 1849 2048 2752 3698 5504 7396 11008 14792 22016 29584 44032 59168 88064 118336 236672 473344 946688 1893376 3786752