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38477142 = 23211296701
BaseRepresentation
bin1001001011000…
…1110101010110
32200101211201100
42102301311112
534322232032
63452410530
7645023154
oct222616526
980354640
1038477142
111a7a04a0
1210a76a46
137c82652
1451783d4
1535a097c
hex24b1d56

38477142 has 48 divisors (see below), whose sum is σ = 94096080. Its totient is φ = 11256000.

The previous prime is 38477129. The next prime is 38477203. The reversal of 38477142 is 24177483.

It is a happy number.

38477142 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 38477097 and 38477106.

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, 2392 + ... + 9092.

It is an arithmetic number, because the mean of its divisors is an integer number (1960335).

Almost surely, 238477142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38477142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47048040).

38477142 is an abundant number, since it is smaller than the sum of its proper divisors (55618938).

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

38477142 is a wasteful number, since it uses less digits than its factorization.

38477142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6749 (or 6746 counting only the distinct ones).

The product of its digits is 37632, while the sum is 36.

The square root of 38477142 is about 6202.9945993850. The cubic root of 38477142 is about 337.5988319610.

The spelling of 38477142 in words is "thirty-eight million, four hundred seventy-seven thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 29 33 58 66 87 99 174 198 261 319 522 638 957 1914 2871 5742 6701 13402 20103 40206 60309 73711 120618 147422 194329 221133 388658 442266 582987 663399 1165974 1326798 1748961 2137619 3497922 4275238 6412857 12825714 19238571 38477142