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3788628 = 2232391321
BaseRepresentation
bin1110011100111101010100
321010111000120
432130331110
51432214003
6213111540
744126364
oct16347524
97114016
103788628
1121584a8
1213285b0
13a285bc
147089a4
154ec853
hex39cf54

3788628 has 24 divisors (see below), whose sum is σ = 8883840. Its totient is φ = 1256640.

The previous prime is 3788621. The next prime is 3788633. The reversal of 3788628 is 8268873.

3788628 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a d-powerful number, because it can be written as 35 + 74 + 83 + 83 + 68 + 213 + 87 .

It is a self number, because there is not a number n which added to its sum of digits gives 3788628.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3788621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2208 + ... + 3528.

It is an arithmetic number, because the mean of its divisors is an integer number (370160).

Almost surely, 23788628 is an apocalyptic number.

It is an amenable number.

3788628 is an abundant number, since it is smaller than the sum of its proper divisors (5095212).

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

3788628 is a wasteful number, since it uses less digits than its factorization.

3788628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1567 (or 1565 counting only the distinct ones).

The product of its digits is 129024, while the sum is 42.

The square root of 3788628 is about 1946.4398269661. The cubic root of 3788628 is about 155.8932537320.

The spelling of 3788628 in words is "three million, seven hundred eighty-eight thousand, six hundred twenty-eight".

Divisors: 1 2 3 4 6 12 239 478 717 956 1321 1434 2642 2868 3963 5284 7926 15852 315719 631438 947157 1262876 1894314 3788628