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39228384 = 2531317432
BaseRepresentation
bin1001010110100…
…1001111100000
32201211000020010
42111221033200
540020302014
63520444520
7654302316
oct225511740
981730203
1039228384
1120163958
1211179740
138186580
1452d20b6
15369d359
hex25693e0

39228384 has 144 divisors (see below), whose sum is σ = 120213072. Its totient is φ = 11096064.

The previous prime is 39228377. The next prime is 39228391. The reversal of 39228384 is 48382293.

It is an interprime number because it is at equal distance from previous prime (39228377) and next prime (39228391).

It is a super-2 number, since 2×392283842 = 3077732222502912, which contains 22 as substring.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 912267 + ... + 912309.

It is an arithmetic number, because the mean of its divisors is an integer number (834813).

Almost surely, 239228384 is an apocalyptic number.

39228384 is a gapful number since it is divisible by the number (34) 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 39228384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60106536).

39228384 is an abundant number, since it is smaller than the sum of its proper divisors (80984688).

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

39228384 is a wasteful number, since it uses less digits than its factorization.

39228384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 78 counting only the distinct ones).

The product of its digits is 82944, while the sum is 39.

The square root of 39228384 is about 6263.2566608754. The cubic root of 39228384 is about 339.7818208079.

The spelling of 39228384 in words is "thirty-nine million, two hundred twenty-eight thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 13 16 17 24 26 32 34 39 43 48 51 52 68 78 86 96 102 104 129 136 156 172 204 208 221 258 272 312 344 408 416 442 516 544 559 624 663 688 731 816 884 1032 1118 1248 1326 1376 1462 1632 1677 1768 1849 2064 2193 2236 2652 2924 3354 3536 3698 4128 4386 4472 5304 5547 5848 6708 7072 7396 8772 8944 9503 10608 11094 11696 13416 14792 17544 17888 19006 21216 22188 23392 24037 26832 28509 29584 31433 35088 38012 44376 48074 53664 57018 59168 62866 70176 72111 76024 88752 94299 96148 114036 125732 144222 152048 177504 188598 192296 228072 251464 288444 304096 377196 384592 408629 456144 502928 576888 754392 769184 817258 912288 1005856 1153776 1225887 1508784 1634516 2307552 2451774 3017568 3269032 4903548 6538064 9807096 13076128 19614192 39228384