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38809638 = 2337831237
BaseRepresentation
bin1001010000001…
…1000000100110
32201000201211000
42110003000212
534413402023
63503454130
7650606430
oct224030046
981021730
1038809638
111a9a828a
1210bb7346
13806aaaa
145223650
153619243
hex2503026

38809638 has 64 divisors (see below), whose sum is σ = 99832320. Its totient is φ = 10946016.

The previous prime is 38809637. The next prime is 38809697. The reversal of 38809638 is 83690883.

38809638 is a `hidden beast` number, since 3 + 8 + 8 + 0 + 9 + 638 = 666.

It is a super-3 number, since 3×388096383 (a number of 24 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 38809593 and 38809602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38809637) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30756 + ... + 31992.

It is an arithmetic number, because the mean of its divisors is an integer number (1559880).

Almost surely, 238809638 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38809638, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49916160).

38809638 is an abundant number, since it is smaller than the sum of its proper divisors (61022682).

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

38809638 is a wasteful number, since it uses less digits than its factorization.

38809638 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1338 (or 1332 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 38809638 is about 6229.7381967463. The cubic root of 38809638 is about 338.5684853362.

The spelling of 38809638 in words is "thirty-eight million, eight hundred nine thousand, six hundred thirty-eight".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 83 126 166 189 249 378 498 581 747 1162 1237 1494 1743 2241 2474 3486 3711 4482 5229 7422 8659 10458 11133 15687 17318 22266 25977 31374 33399 51954 66798 77931 102671 155862 205342 233793 308013 467586 616026 718697 924039 1437394 1848078 2156091 2772117 4312182 5544234 6468273 12936546 19404819 38809638