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38656816 = 2411239919
BaseRepresentation
bin1001001101110…
…1101100110000
32200201222011221
42103131230300
534344004231
63500314424
7646402042
oct223355460
980658157
1038656816
111a903490
1210b42a14
138016373
1451c3a92
1535d8d11
hex24ddb30

38656816 has 40 divisors (see below), whose sum is σ = 82137600. Its totient is φ = 17478720.

The previous prime is 38656799. The next prime is 38656817. The reversal of 38656816 is 61865683.

38656816 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (43) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (38656817) 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 7 ways as a sum of consecutive naturals, for example, 41605 + ... + 42523.

It is an arithmetic number, because the mean of its divisors is an integer number (2053440).

Almost surely, 238656816 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 38656816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41068800).

38656816 is an abundant number, since it is smaller than the sum of its proper divisors (43480784).

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

38656816 is a wasteful number, since it uses less digits than its factorization.

38656816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1177 (or 1171 counting only the distinct ones).

The product of its digits is 207360, while the sum is 43.

The square root of 38656816 is about 6217.4605748650. The cubic root of 38656816 is about 338.1235032956.

The spelling of 38656816 in words is "thirty-eight million, six hundred fifty-six thousand, eight hundred sixteen".

Divisors: 1 2 4 8 11 16 22 44 88 176 239 478 919 956 1838 1912 2629 3676 3824 5258 7352 10109 10516 14704 20218 21032 40436 42064 80872 161744 219641 439282 878564 1757128 2416051 3514256 4832102 9664204 19328408 38656816