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38382653 = 23237253
BaseRepresentation
bin1001001001101…
…0110000111101
32200020001002202
42102122300331
534311221103
63450401245
7644150531
oct222326075
980201082
1038382653
111a736501
1210a30225
137c4b63a
145151bc1
153582988
hex249ac3d

38382653 has 18 divisors (see below), whose sum is σ = 42015834. Its totient is φ = 35047584.

The previous prime is 38382649. The next prime is 38382661. The reversal of 38382653 is 35628383.

38382653 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 25836889 + 12545764 = 5083^2 + 3542^2 .

It is not a de Polignac number, because 38382653 - 22 = 38382649 is a prime.

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38382623) 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 17 ways as a sum of consecutive naturals, for example, 724175 + ... + 724227.

It is an arithmetic number, because the mean of its divisors is an integer number (2334213).

Almost surely, 238382653 is an apocalyptic number.

It is an amenable number.

38382653 is a deficient number, since it is larger than the sum of its proper divisors (3633181).

38382653 is an equidigital number, since it uses as much as digits as its factorization.

38382653 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 113 counting only the distinct ones).

The product of its digits is 103680, while the sum is 38.

The square root of 38382653 is about 6195.3735157777. The cubic root of 38382653 is about 337.3222562938.

The spelling of 38382653 in words is "thirty-eight million, three hundred eighty-two thousand, six hundred fifty-three".

Divisors: 1 23 37 53 529 851 1219 1369 1961 19573 28037 31487 45103 72557 724201 1037369 1668811 38382653