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38531808 = 2533723277
BaseRepresentation
bin1001001011111…
…1001011100000
32200111121201000
42102333023200
534331004213
63453512000
7645341430
oct222771340
980447630
1038531808
111a828577
1210aa2600
137ca14b3
1451902c0
1535b1c73
hex24bf2e0

38531808 has 192 divisors, whose sum is σ = 134507520. Its totient is φ = 10492416.

The previous prime is 38531797. The next prime is 38531839. The reversal of 38531808 is 80813583.

It is a happy number.

38531808 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 31 ways as a sum of consecutive naturals, for example, 138966 + ... + 139242.

It is an arithmetic number, because the mean of its divisors is an integer number (700560).

Almost surely, 238531808 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 38531808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67253760).

38531808 is an abundant number, since it is smaller than the sum of its proper divisors (95975712).

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

38531808 is a wasteful number, since it uses less digits than its factorization.

38531808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 38531808 is about 6207.3994554886. The cubic root of 38531808 is about 337.7586363165.

The spelling of 38531808 in words is "thirty-eight million, five hundred thirty-one thousand, eight hundred eight".