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38481768 = 23321341113
BaseRepresentation
bin1001001011001…
…0111101101000
32200102002001200
42102302331220
534322404033
63452444200
7645042513
oct222627550
980362050
1038481768
111a7a3a16
1210a79660
137c847a0
145179d7a
1535a2013
hex24b2f68

38481768 has 48 divisors (see below), whose sum is σ = 112241220. Its totient is φ = 11840256.

The previous prime is 38481749. The next prime is 38481791. The reversal of 38481768 is 86718483.

38481768 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 2 ways, for example, as 38415204 + 66564 = 6198^2 + 258^2 .

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 11 ways as a sum of consecutive naturals, for example, 19621 + ... + 21492.

Almost surely, 238481768 is an apocalyptic number.

It is an amenable number.

38481768 is an abundant number, since it is smaller than the sum of its proper divisors (73759452).

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

38481768 is a wasteful number, since it uses less digits than its factorization.

38481768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41138 (or 41131 counting only the distinct ones).

The product of its digits is 258048, while the sum is 45.

The square root of 38481768 is about 6203.3674725910. The cubic root of 38481768 is about 337.6123609424.

The spelling of 38481768 in words is "thirty-eight million, four hundred eighty-one thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 312 468 936 41113 82226 123339 164452 246678 328904 370017 493356 534469 740034 986712 1068938 1480068 1603407 2137876 2960136 3206814 4275752 4810221 6413628 9620442 12827256 19240884 38481768