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3878688 = 253113673
BaseRepresentation
bin1110110010111100100000
321022001120010
432302330200
51443104223
6215044520
744653062
oct16627440
97261503
103878688
11220a130
121370740
13a5a5a8
1472d732
15519393
hex3b2f20

3878688 has 48 divisors (see below), whose sum is σ = 11110176. Its totient is φ = 1175040.

The previous prime is 3878687. The next prime is 3878701. The reversal of 3878688 is 8868783.

3878688 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (3878681) 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 7 ways as a sum of consecutive naturals, for example, 781 + ... + 2892.

It is an arithmetic number, because the mean of its divisors is an integer number (231462).

Almost surely, 23878688 is an apocalyptic number.

It is an amenable number.

3878688 is an abundant number, since it is smaller than the sum of its proper divisors (7231488).

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

3878688 is a wasteful number, since it uses less digits than its factorization.

3878688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3697 (or 3689 counting only the distinct ones).

The product of its digits is 516096, while the sum is 48.

The square root of 3878688 is about 1969.4384986589. The cubic root of 3878688 is about 157.1188465479.

The spelling of 3878688 in words is "three million, eight hundred seventy-eight thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 3673 7346 11019 14692 22038 29384 40403 44076 58768 80806 88152 117536 121209 161612 176304 242418 323224 352608 484836 646448 969672 1292896 1939344 3878688