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4839384 = 2331123797
BaseRepresentation
bin10010011101011111011000
3100002212101110
4102131133120
52214330014
6251420320
756063664
oct22353730
910085343
104839384
1128059a0
1217546a0
131005954
148dd8a4
15658d59
hex49d7d8

4839384 has 64 divisors (see below), whose sum is σ = 13789440. Its totient is φ = 1400960.

The previous prime is 4839347. The next prime is 4839403.

4839384 is nontrivially palindromic in base 10.

4839384 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 5674 + ... + 6470.

It is an arithmetic number, because the mean of its divisors is an integer number (215460).

Almost surely, 24839384 is an apocalyptic number.

4839384 is a gapful number since it is divisible by the number (44) 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 4839384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6894720).

4839384 is an abundant number, since it is smaller than the sum of its proper divisors (8950056).

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

4839384 is a wasteful number, since it uses less digits than its factorization.

4839384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 840 (or 836 counting only the distinct ones).

The product of its digits is 82944, while the sum is 39.

The square root of 4839384 is about 2199.8599955452. The cubic root of 4839384 is about 169.1466346355.

The spelling of 4839384 in words is "four million, eight hundred thirty-nine thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 11 12 22 23 24 33 44 46 66 69 88 92 132 138 184 253 264 276 506 552 759 797 1012 1518 1594 2024 2391 3036 3188 4782 6072 6376 8767 9564 17534 18331 19128 26301 35068 36662 52602 54993 70136 73324 105204 109986 146648 201641 210408 219972 403282 439944 604923 806564 1209846 1613128 2419692 4839384