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38046393 = 32721122331
BaseRepresentation
bin1001000100100…
…0101010111001
32122120221211200
42101020222321
534214441033
63435244413
7641250300
oct221105271
978527750
1038046393
111a526900
12108a9709
137b61578
1450a5437
153518013
hex2448ab9

38046393 has 108 divisors (see below), whose sum is σ = 75688704. Its totient is φ = 18295200.

The previous prime is 38046383. The next prime is 38046427. The reversal of 38046393 is 39364083.

It is not a de Polignac number, because 38046393 - 25 = 38046361 is a prime.

It is not an unprimeable number, because it can be changed into a prime (38046313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 1227288 + ... + 1227318.

Almost surely, 238046393 is an apocalyptic number.

38046393 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

38046393 is a deficient number, since it is larger than the sum of its proper divisors (37642311).

38046393 is a wasteful number, since it uses less digits than its factorization.

38046393 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 38046393 is about 6168.1758243422. The cubic root of 38046393 is about 336.3343026924.

The spelling of 38046393 in words is "thirty-eight million, forty-six thousand, three hundred ninety-three".

Divisors: 1 3 7 9 11 21 23 31 33 49 63 69 77 93 99 121 147 161 207 217 231 253 279 341 363 441 483 539 651 693 713 759 847 1023 1089 1127 1449 1519 1617 1771 1953 2139 2277 2387 2541 2783 3069 3381 3751 4557 4851 4991 5313 5929 6417 7161 7623 7843 8349 10143 11253 12397 13671 14973 15939 16709 17787 19481 21483 23529 25047 26257 33759 34937 37191 44919 50127 53361 54901 58443 70587 78771 86273 104811 111573 136367 150381 164703 175329 183799 236313 258819 314433 384307 409101 494109 551397 603911 776457 1152921 1227303 1654191 1811733 3458763 4227377 5435199 12682131 38046393