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38408512 = 26738221
BaseRepresentation
bin1001001010000…
…1000101000000
32200021100120111
42102201011000
534313033022
63451121104
7644316112
oct222410500
980240514
1038408512
111a75397a
1210a43194
137c5a33c
14515b3b2
15358a477
hex24a1140

38408512 has 28 divisors (see below), whose sum is σ = 77270356. Its totient is φ = 18938880.

The previous prime is 38408507. The next prime is 38408527. The reversal of 38408512 is 21580483.

It can be written as a sum of positive squares in 2 ways, for example, as 30206016 + 8202496 = 5496^2 + 2864^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 562 + ... + 8782.

Almost surely, 238408512 is an apocalyptic number.

38408512 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38408512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38635178).

38408512 is an abundant number, since it is smaller than the sum of its proper divisors (38861844).

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

38408512 is an equidigital number, since it uses as much as digits as its factorization.

38408512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8306 (or 8296 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 31.

The square root of 38408512 is about 6197.4601249221. The cubic root of 38408512 is about 337.3979924000.

Adding to 38408512 its reverse (21580483), we get a palindrome (59988995).

The spelling of 38408512 in words is "thirty-eight million, four hundred eight thousand, five hundred twelve".

Divisors: 1 2 4 8 16 32 64 73 146 292 584 1168 2336 4672 8221 16442 32884 65768 131536 263072 526144 600133 1200266 2400532 4801064 9602128 19204256 38408512