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38938356 = 223223313741
BaseRepresentation
bin1001010010001…
…0011011110100
32201021021101100
42110202123310
534432011411
63510330100
7651653622
oct224423364
981237340
1038938356
111aa85a66
1211059930
1380b4562
145258512
153642456
hex25226f4

38938356 has 144 divisors (see below), whose sum is σ = 111541248. Its totient is φ = 11404800.

The previous prime is 38938351. The next prime is 38938357. The reversal of 38938356 is 65383983.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38938351) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 949696 + ... + 949736.

It is an arithmetic number, because the mean of its divisors is an integer number (774592).

Almost surely, 238938356 is an apocalyptic number.

38938356 is a gapful number since it is divisible by the number (36) 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 38938356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55770624).

38938356 is an abundant number, since it is smaller than the sum of its proper divisors (72602892).

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

38938356 is a wasteful number, since it uses less digits than its factorization.

38938356 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 137 counting only the distinct ones).

The product of its digits is 466560, while the sum is 45.

The square root of 38938356 is about 6240.0605766290. The cubic root of 38938356 is about 338.9423767147.

The spelling of 38938356 in words is "thirty-eight million, nine hundred thirty-eight thousand, three hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 23 31 36 37 41 46 62 69 74 82 92 93 111 123 124 138 148 164 186 207 222 246 276 279 333 369 372 414 444 492 558 666 713 738 828 851 943 1116 1147 1271 1332 1426 1476 1517 1702 1886 2139 2294 2542 2553 2829 2852 3034 3404 3441 3772 3813 4278 4551 4588 5084 5106 5658 6068 6417 6882 7626 7659 8487 8556 9102 10212 10323 11316 11439 12834 13653 13764 15252 15318 16974 18204 20646 22878 25668 26381 27306 29233 30636 33948 34891 41292 45756 47027 52762 54612 58466 69782 79143 87699 94054 104673 105524 116932 139564 141081 158286 175398 188108 209346 237429 263097 282162 314019 316572 350796 418692 423243 474858 526194 564324 628038 846486 949716 1052388 1081621 1256076 1692972 2163242 3244863 4326484 6489726 9734589 12979452 19469178 38938356