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38440038 = 23713233061
BaseRepresentation
bin1001001010100…
…0110001100110
32200022221211010
42102220301212
534320040123
63451523050
7644510040
oct222506146
980287733
1038440038
111a77562a
1210a59486
137c6b7b0
145168a90
153594993
hex24a8c66

38440038 has 64 divisors (see below), whose sum is σ = 98767872. Its totient is φ = 9694080.

The previous prime is 38440027. The next prime is 38440067. The reversal of 38440038 is 83004483.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 38439987 and 38440014.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11028 + ... + 14088.

It is an arithmetic number, because the mean of its divisors is an integer number (1543248).

Almost surely, 238440038 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38440038, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49383936).

38440038 is an abundant number, since it is smaller than the sum of its proper divisors (60327834).

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

38440038 is a wasteful number, since it uses less digits than its factorization.

38440038 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3109.

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 38440038 is about 6200.0030645154. The cubic root of 38440038 is about 337.4902801042.

The spelling of 38440038 in words is "thirty-eight million, four hundred forty thousand, thirty-eight".

Divisors: 1 2 3 6 7 13 14 21 23 26 39 42 46 69 78 91 138 161 182 273 299 322 483 546 598 897 966 1794 2093 3061 4186 6122 6279 9183 12558 18366 21427 39793 42854 64281 70403 79586 119379 128562 140806 211209 238758 278551 422418 492821 557102 835653 915239 985642 1478463 1671306 1830478 2745717 2956926 5491434 6406673 12813346 19220019 38440038