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38438208 = 263266733
BaseRepresentation
bin1001001010100…
…0010101000000
32200022212022100
42102220111000
534320010313
63451510400
7644501514
oct222502500
980285270
1038438208
111a774216
1210a58400
137c6aa03
145168144
153594173
hex24a8540

38438208 has 42 divisors (see below), whose sum is σ = 110177834. Its totient is φ = 12812544.

The previous prime is 38438203. The next prime is 38438209. The reversal of 38438208 is 80283483.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 38340864 + 97344 = 6192^2 + 312^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38438203) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 32791 + ... + 33942.

Almost surely, 238438208 is an apocalyptic number.

It is an amenable number.

38438208 is an abundant number, since it is smaller than the sum of its proper divisors (71739626).

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

38438208 is a wasteful number, since it uses less digits than its factorization.

38438208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66751 (or 66738 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 38438208 is about 6199.8554821867. The cubic root of 38438208 is about 337.4849244295.

The spelling of 38438208 in words is "thirty-eight million, four hundred thirty-eight thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 66733 133466 200199 266932 400398 533864 600597 800796 1067728 1201194 1601592 2135456 2402388 3203184 4270912 4804776 6406368 9609552 12812736 19219104 38438208