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38679216 = 24317107443
BaseRepresentation
bin1001001110001…
…1001010110000
32200210002220120
42103203022300
534400213331
63501010240
7646524252
oct223431260
980702816
1038679216
111a9192a4
1210b53980
138023614
1451cbcd2
1535e0796
hex24e32b0

38679216 has 80 divisors (see below), whose sum is σ = 107028864. Its totient is φ = 11994112.

The previous prime is 38679209. The next prime is 38679217. The reversal of 38679216 is 61297683.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (38679217) 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 15 ways as a sum of consecutive naturals, for example, 87091 + ... + 87533.

Almost surely, 238679216 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 38679216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53514432).

38679216 is an abundant number, since it is smaller than the sum of its proper divisors (68349648).

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

38679216 is a wasteful number, since it uses less digits than its factorization.

38679216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 578 (or 572 counting only the distinct ones).

The product of its digits is 108864, while the sum is 42.

The square root of 38679216 is about 6219.2616925162. The cubic root of 38679216 is about 338.1888001375.

The spelling of 38679216 in words is "thirty-eight million, six hundred seventy-nine thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 102 107 136 204 214 272 321 408 428 443 642 816 856 886 1284 1329 1712 1772 1819 2568 2658 3544 3638 5136 5316 5457 7088 7276 7531 10632 10914 14552 15062 21264 21828 22593 29104 30124 43656 45186 47401 60248 87312 90372 94802 120496 142203 180744 189604 284406 361488 379208 568812 758416 805817 1137624 1611634 2275248 2417451 3223268 4834902 6446536 9669804 12893072 19339608 38679216