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38448168 = 23311145637
BaseRepresentation
bin1001001010101…
…0110000101000
32200100100222020
42102222300220
534320320133
63452024440
7644542533
oct222526050
980310866
1038448168
111a780750
1210a62120
137c723c5
14516ba1a
1535970b3
hex24aac28

38448168 has 32 divisors (see below), whose sum is σ = 104859360. Its totient is φ = 11650880.

The previous prime is 38448167. The next prime is 38448187. The reversal of 38448168 is 86184483.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (38448167) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 72555 + ... + 73082.

It is an arithmetic number, because the mean of its divisors is an integer number (3276855).

Almost surely, 238448168 is an apocalyptic number.

It is an amenable number.

38448168 is an abundant number, since it is smaller than the sum of its proper divisors (66411192).

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

38448168 is a wasteful number, since it uses less digits than its factorization.

38448168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145657 (or 145653 counting only the distinct ones).

The product of its digits is 147456, while the sum is 42.

The square root of 38448168 is about 6200.6586746893. The cubic root of 38448168 is about 337.5140712926.

The spelling of 38448168 in words is "thirty-eight million, four hundred forty-eight thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 145637 291274 436911 582548 873822 1165096 1602007 1747644 3204014 3495288 4806021 6408028 9612042 12816056 19224084 38448168