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38928393 = 3272412153
BaseRepresentation
bin1001010010000…
…0000000001001
32201020202201100
42110200000021
534431202033
63510212013
7651612600
oct224400011
981222640
1038928393
111aa79529
1211054009
1380acb6a
145254a37
15363e513
hex2520009

38928393 has 36 divisors (see below), whose sum is σ = 67036788. Its totient is φ = 21692160.

The previous prime is 38928391. The next prime is 38928427. The reversal of 38928393 is 39382983.

It can be written as a sum of positive squares in 2 ways, for example, as 2350089 + 36578304 = 1533^2 + 6048^2 .

It is not a de Polignac number, because 38928393 - 21 = 38928391 is a prime.

It is a zygodrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (38928391) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 17005 + ... + 19157.

It is an arithmetic number, because the mean of its divisors is an integer number (1862133).

Almost surely, 238928393 is an apocalyptic number.

It is an amenable number.

38928393 is a deficient number, since it is larger than the sum of its proper divisors (28108395).

38928393 is a wasteful number, since it uses less digits than its factorization.

38928393 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2214 (or 2204 counting only the distinct ones).

The product of its digits is 279936, while the sum is 45.

The square root of 38928393 is about 6239.2622159996. The cubic root of 38928393 is about 338.9134663095.

It can be divided in two parts, 389283 and 93, that added together give a square (389376 = 6242).

The spelling of 38928393 in words is "thirty-eight million, nine hundred twenty-eight thousand, three hundred ninety-three".

Divisors: 1 3 7 9 21 41 49 63 123 147 287 369 441 861 2009 2153 2583 6027 6459 15071 18081 19377 45213 88273 105497 135639 264819 316491 617911 794457 949473 1853733 4325377 5561199 12976131 38928393