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38442924 = 2234139127
BaseRepresentation
bin1001001010100…
…1011110101100
32200100002210000
42102221132230
534320133144
63451544300
7644521332
oct222513654
980302700
1038442924
111a777813
1210a5b090
137c6cbc0
145169b52
153595769
hex24a97ac

38442924 has 60 divisors (see below), whose sum is σ = 108239824. Its totient is φ = 11827296.

The previous prime is 38442881. The next prime is 38442941. The reversal of 38442924 is 42924483.

38442924 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 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 19 ways as a sum of consecutive naturals, for example, 352 + ... + 8775.

Almost surely, 238442924 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 38442924, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54119912).

38442924 is an abundant number, since it is smaller than the sum of its proper divisors (69796900).

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

38442924 is a wasteful number, since it uses less digits than its factorization.

38442924 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9156 (or 9145 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 38442924 is about 6200.2358019675. The cubic root of 38442924 is about 337.4987259211.

The spelling of 38442924 in words is "thirty-eight million, four hundred forty-two thousand, nine hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 81 108 117 156 162 234 324 351 468 702 1053 1404 2106 4212 9127 18254 27381 36508 54762 82143 109524 118651 164286 237302 246429 328572 355953 474604 492858 711906 739287 985716 1067859 1423812 1478574 2135718 2957148 3203577 4271436 6407154 9610731 12814308 19221462 38442924