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38829868 = 22711273157
BaseRepresentation
bin1001010000011…
…1111100101100
32201001202120021
42110013330230
534420023433
63504131524
7651022420
oct224077454
981052507
1038829868
111aa11500
1211006ba4
13807706c
14522ab80
15362022d
hex2507f2c

38829868 has 72 divisors (see below), whose sum is σ = 87082016. Its totient is φ = 14826240.

The previous prime is 38829859. The next prime is 38829871. The reversal of 38829868 is 86892883.

It is a happy number.

38829868 is digitally balanced in base 2, 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 (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 247246 + ... + 247402.

Almost surely, 238829868 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 38829868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43541008).

38829868 is an abundant number, since it is smaller than the sum of its proper divisors (48252148).

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

38829868 is a wasteful number, since it uses less digits than its factorization.

38829868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263 (or 250 counting only the distinct ones).

The product of its digits is 1327104, while the sum is 52.

The square root of 38829868 is about 6231.3616489496. The cubic root of 38829868 is about 338.6273027767.

The spelling of 38829868 in words is "thirty-eight million, eight hundred twenty-nine thousand, eight hundred sixty-eight".

Divisors: 1 2 4 7 11 14 22 28 44 73 77 121 146 154 157 242 292 308 314 484 511 628 803 847 1022 1099 1606 1694 1727 2044 2198 3212 3388 3454 4396 5621 6908 8833 11242 11461 12089 17666 18997 22484 22922 24178 35332 37994 45844 48356 61831 75988 80227 123662 126071 132979 160454 247324 252142 265958 320908 504284 531916 882497 1386781 1764994 2773562 3529988 5547124 9707467 19414934 38829868