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3868928 = 28717127
BaseRepresentation
bin1110110000100100000000
321021120011122
432300210000
51442301203
6214531412
744612450
oct16604400
97246148
103868928
112202868
121366b68
13a5600b
14729d60
15516538
hex3b0900

3868928 has 72 divisors (see below), whose sum is σ = 9418752. Its totient is φ = 1548288.

The previous prime is 3868901. The next prime is 3868933. The reversal of 3868928 is 8298683.

3868928 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 30401 + ... + 30527.

It is an arithmetic number, because the mean of its divisors is an integer number (130816).

Almost surely, 23868928 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 3868928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4709376).

3868928 is an abundant number, since it is smaller than the sum of its proper divisors (5549824).

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

3868928 is a wasteful number, since it uses less digits than its factorization.

3868928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 153 counting only the distinct ones).

The product of its digits is 165888, while the sum is 44.

The square root of 3868928 is about 1966.9590743073. The cubic root of 3868928 is about 156.9869490281.

The spelling of 3868928 in words is "three million, eight hundred sixty-eight thousand, nine hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 64 68 112 119 127 128 136 224 238 254 256 272 448 476 508 544 889 896 952 1016 1088 1778 1792 1904 2032 2159 2176 3556 3808 4064 4318 4352 7112 7616 8128 8636 14224 15113 15232 16256 17272 28448 30226 30464 32512 34544 56896 60452 69088 113792 120904 138176 227584 241808 276352 483616 552704 967232 1934464 3868928