Search a number
-
+
38110116 = 22311614733
BaseRepresentation
bin1001000101100…
…0001110100100
32122201012020210
42101120032210
534224010431
63440455420
7641634132
oct221301644
978635223
1038110116
111a56a770
121091a570
137b84585
1450c0752
15352bd46
hex24583a4

38110116 has 48 divisors (see below), whose sum is σ = 98618688. Its totient is φ = 11356800.

The previous prime is 38110081. The next prime is 38110117. The reversal of 38110116 is 61101183.

It is a junction number, because it is equal to n+sod(n) for n = 38110092 and 38110101.

It is not an unprimeable number, because it can be changed into a prime (38110117) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5686 + ... + 10418.

It is an arithmetic number, because the mean of its divisors is an integer number (2054556).

Almost surely, 238110116 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 38110116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49309344).

38110116 is an abundant number, since it is smaller than the sum of its proper divisors (60508572).

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

38110116 is a wasteful number, since it uses less digits than its factorization.

38110116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4812 (or 4810 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 21.

The square root of 38110116 is about 6173.3391288670. The cubic root of 38110116 is about 336.5219707362.

Adding to 38110116 its reverse (61101183), we get a palindrome (99211299).

It can be divided in two parts, 38110 and 116, that added together give a triangular number (38226 = T276).

The spelling of 38110116 in words is "thirty-eight million, one hundred ten thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 11 12 22 33 44 61 66 122 132 183 244 366 671 732 1342 2013 2684 4026 4733 8052 9466 14199 18932 28398 52063 56796 104126 156189 208252 288713 312378 577426 624756 866139 1154852 1732278 3175843 3464556 6351686 9527529 12703372 19055058 38110116