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38675646 = 23217971303
BaseRepresentation
bin1001001110001…
…0010010111110
32200202221000100
42103202102332
534400110041
63500541530
7646510662
oct223422276
980687010
1038675646
111a916649
1210b518a6
138021ac9
1451ca8a2
1535de6b6
hex24e24be

38675646 has 48 divisors (see below), whose sum is σ = 89709984. Its totient is φ = 11999232.

The previous prime is 38675639. The next prime is 38675671. The reversal of 38675646 is 64657683.

38675646 is a `hidden beast` number, since 3 + 86 + 7 + 564 + 6 = 666.

38675646 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 23 ways as a sum of consecutive naturals, for example, 29031 + ... + 30333.

It is an arithmetic number, because the mean of its divisors is an integer number (1868958).

Almost surely, 238675646 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38675646, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44854992).

38675646 is an abundant number, since it is smaller than the sum of its proper divisors (51034338).

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

38675646 is a wasteful number, since it uses less digits than its factorization.

38675646 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1425 (or 1422 counting only the distinct ones).

The product of its digits is 725760, while the sum is 45.

The square root of 38675646 is about 6218.9746743334. The cubic root of 38675646 is about 338.1783951424.

It can be divided in two parts, 38 and 675646, that added together give a square (675684 = 8222).

The spelling of 38675646 in words is "thirty-eight million, six hundred seventy-five thousand, six hundred forty-six".

Divisors: 1 2 3 6 9 17 18 34 51 97 102 153 194 291 306 582 873 1303 1649 1746 2606 3298 3909 4947 7818 9894 11727 14841 22151 23454 29682 44302 66453 126391 132906 199359 252782 379173 398718 758346 1137519 2148647 2275038 4297294 6445941 12891882 19337823 38675646