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38308842 = 2331131341
BaseRepresentation
bin1001001000100…
…0101111101010
32200002021212000
42102020233222
534301340332
63445031430
7643422405
oct222105752
980067760
1038308842
111a696000
12109b5576
137c23b70
145132d3c
15356ab7c
hex2488bea

38308842 has 128 divisors (see below), whose sum is σ = 103299840. Its totient is φ = 10454400.

The previous prime is 38308841. The next prime is 38308859. The reversal of 38308842 is 24880383.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 38308797 and 38308806.

It is not an unprimeable number, because it can be changed into a prime (38308841) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 934342 + ... + 934382.

It is an arithmetic number, because the mean of its divisors is an integer number (807030).

Almost surely, 238308842 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38308842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51649920).

38308842 is an abundant number, since it is smaller than the sum of its proper divisors (64990998).

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

38308842 is a wasteful number, since it uses less digits than its factorization.

38308842 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 38308842 is about 6189.4137040595. The cubic root of 38308842 is about 337.1058905824.

The spelling of 38308842 in words is "thirty-eight million, three hundred eight thousand, eight hundred forty-two".

Divisors: 1 2 3 6 9 11 13 18 22 26 27 33 39 41 54 66 78 82 99 117 121 123 143 198 234 242 246 286 297 351 363 369 429 451 533 594 702 726 738 858 902 1066 1089 1107 1287 1331 1353 1573 1599 2178 2214 2574 2662 2706 3146 3198 3267 3861 3993 4059 4719 4797 4961 5863 6534 7722 7986 8118 9438 9594 9922 11726 11979 12177 14157 14391 14883 17303 17589 23958 24354 28314 28782 29766 34606 35178 35937 42471 44649 51909 52767 54571 64493 71874 84942 89298 103818 105534 109142 128986 133947 155727 158301 163713 193479 267894 311454 316602 327426 386958 467181 491139 580437 709423 934362 982278 1160874 1418846 1473417 1741311 2128269 2946834 3482622 4256538 6384807 12769614 19154421 38308842