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38936964 = 22311973041
BaseRepresentation
bin1001010010001…
…0000110000100
32201021012110210
42110202012010
534431440324
63510315420
7651646563
oct224420604
981235423
1038936964
111aa84a10
1211058b70
1380b3a31
145257bda
153641d29
hex2522184

38936964 has 48 divisors (see below), whose sum is σ = 100166976. Its totient is φ = 11673600.

The previous prime is 38936941. The next prime is 38936977. The reversal of 38936964 is 46963983.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11284 + ... + 14324.

It is an arithmetic number, because the mean of its divisors is an integer number (2086812).

Almost surely, 238936964 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 38936964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50083488).

38936964 is an abundant number, since it is smaller than the sum of its proper divisors (61230012).

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

38936964 is a wasteful number, since it uses less digits than its factorization.

38936964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3156 (or 3154 counting only the distinct ones).

The product of its digits is 839808, while the sum is 48.

The square root of 38936964 is about 6239.9490382534. The cubic root of 38936964 is about 338.9383377374.

The spelling of 38936964 in words is "thirty-eight million, nine hundred thirty-six thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 97 132 194 291 388 582 1067 1164 2134 3041 3201 4268 6082 6402 9123 12164 12804 18246 33451 36492 66902 100353 133804 200706 294977 401412 589954 884931 1179908 1769862 3244747 3539724 6489494 9734241 12978988 19468482 38936964