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38481137 = 193179827
BaseRepresentation
bin1001001011001…
…0110011110001
32200102001012022
42102302303301
534322344022
63452441225
7645040622
oct222626361
980361168
1038481137
111a7a34a2
1210a79215
137c84406
145179a49
1535a1c42
hex24b2cf1

38481137 has 16 divisors (see below), whose sum is σ = 42393600. Its totient is φ = 34791120.

The previous prime is 38481059. The next prime is 38481181. The reversal of 38481137 is 73118483.

38481137 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 38481137 - 28 = 38480881 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 38481097 and 38481106.

It is not an unprimeable number, because it can be changed into a prime (38480137) 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 15 ways as a sum of consecutive naturals, for example, 46118 + ... + 46944.

It is an arithmetic number, because the mean of its divisors is an integer number (2649600).

Almost surely, 238481137 is an apocalyptic number.

It is an amenable number.

38481137 is a deficient number, since it is larger than the sum of its proper divisors (3912463).

38481137 is a wasteful number, since it uses less digits than its factorization.

38481137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 956.

The product of its digits is 16128, while the sum is 35.

The square root of 38481137 is about 6203.3166129096. The cubic root of 38481137 is about 337.6105156134.

It can be divided in two parts, 3 and 8481137, that multiplied together give a triangular number (25443411 = T7133).

The spelling of 38481137 in words is "thirty-eight million, four hundred eighty-one thousand, one hundred thirty-seven".

Divisors: 1 19 31 79 589 827 1501 2449 15713 25637 46531 65333 487103 1241327 2025323 38481137