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38739384 = 2334191313
BaseRepresentation
bin1001001111000…
…1110110111000
32200220011110000
42103301312320
534404130014
63502153000
7650164545
oct223616670
980804400
1038739384
111a95a522
1210b82760
138044b18
145205bcc
153603509
hex24f1db8

38739384 has 80 divisors (see below), whose sum is σ = 109422720. Its totient is φ = 12804480.

The previous prime is 38739373. The next prime is 38739391. The reversal of 38739384 is 48393783.

It is a happy number.

It is a zygodrome in base 3.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 123612 + ... + 123924.

It is an arithmetic number, because the mean of its divisors is an integer number (1367784).

Almost surely, 238739384 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 38739384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54711360).

38739384 is an abundant number, since it is smaller than the sum of its proper divisors (70683336).

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

38739384 is a wasteful number, since it uses less digits than its factorization.

38739384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 522 (or 509 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The square root of 38739384 is about 6224.0970429453. The cubic root of 38739384 is about 338.3640674085.

The spelling of 38739384 in words is "thirty-eight million, seven hundred thirty-nine thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 191 216 313 324 382 573 626 648 764 939 1146 1252 1528 1719 1878 2292 2504 2817 3438 3756 4584 5157 5634 6876 7512 8451 10314 11268 13752 15471 16902 20628 22536 25353 30942 33804 41256 50706 59783 61884 67608 101412 119566 123768 179349 202824 239132 358698 478264 538047 717396 1076094 1434792 1614141 2152188 3228282 4304376 4842423 6456564 9684846 12913128 19369692 38739384