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38614016 = 21075387
BaseRepresentation
bin1001001101001…
…1010000000000
32200122210110202
42103103100000
534341122031
63455344332
7646133210
oct223232000
980583422
1038614016
111a884311
1210b220a8
137ccca3c
1451b2240
1535cb2cb
hex24d3400

38614016 has 44 divisors (see below), whose sum is σ = 88233888. Its totient is φ = 16545792.

The previous prime is 38613983. The next prime is 38614019. The reversal of 38614016 is 61041683.

It is a self number, because there is not a number n which added to its sum of digits gives 38614016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38614019) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4475 + ... + 9861.

Almost surely, 238614016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38614016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44116944).

38614016 is an abundant number, since it is smaller than the sum of its proper divisors (49619872).

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

38614016 is an equidigital number, since it uses as much as digits as its factorization.

38614016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5414 (or 5396 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 29.

The square root of 38614016 is about 6214.0177019381. The cubic root of 38614016 is about 337.9986695091.

Adding to 38614016 its reverse (61041683), we get a palindrome (99655699).

The spelling of 38614016 in words is "thirty-eight million, six hundred fourteen thousand, sixteen".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 448 512 896 1024 1792 3584 5387 7168 10774 21548 37709 43096 75418 86192 150836 172384 301672 344768 603344 689536 1206688 1379072 2413376 2758144 4826752 5516288 9653504 19307008 38614016