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38633216 = 28229659
BaseRepresentation
bin1001001101011…
…1111100000000
32200200202210212
42103113330000
534342230331
63500013252
7646243166
oct223277400
980622725
1038633216
111a897786
1210b31228
1380086bb
1451b9236
1535d1d2b
hex24d7f00

38633216 has 36 divisors (see below), whose sum is σ = 77569800. Its totient is φ = 19203072.

The previous prime is 38633173. The next prime is 38633219. The reversal of 38633216 is 61233683.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38633219) 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, 58295 + ... + 58953.

Almost surely, 238633216 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 38633216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38784900).

38633216 is an abundant number, since it is smaller than the sum of its proper divisors (38936584).

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

38633216 is an equidigital number, since it uses as much as digits as its factorization.

38633216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 904 (or 890 counting only the distinct ones).

The product of its digits is 15552, while the sum is 32.

The square root of 38633216 is about 6215.5624041594. The cubic root of 38633216 is about 338.0546811151.

Adding to 38633216 its reverse (61233683), we get a palindrome (99866899).

The spelling of 38633216 in words is "thirty-eight million, six hundred thirty-three thousand, two hundred sixteen".

Divisors: 1 2 4 8 16 32 64 128 229 256 458 659 916 1318 1832 2636 3664 5272 7328 10544 14656 21088 29312 42176 58624 84352 150911 168704 301822 603644 1207288 2414576 4829152 9658304 19316608 38633216