Search a number
-
+
38846768 = 2417251569
BaseRepresentation
bin1001010000110…
…0000100110000
32201002121202012
42110030010300
534421044033
63504342052
7651122612
oct224140460
981077665
1038846768
111aa23174
1211014928
13808196c
145232db2
153625248
hex250c130

38846768 has 40 divisors (see below), whose sum is σ = 80151120. Its totient is φ = 18176000.

The previous prime is 38846741. The next prime is 38846771. The reversal of 38846768 is 86764883.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 67988 + ... + 68556.

It is an arithmetic number, because the mean of its divisors is an integer number (2003778).

Almost surely, 238846768 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 38846768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40075560).

38846768 is an abundant number, since it is smaller than the sum of its proper divisors (41304352).

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

38846768 is a wasteful number, since it uses less digits than its factorization.

38846768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 845 (or 839 counting only the distinct ones).

The product of its digits is 1548288, while the sum is 50.

The square root of 38846768 is about 6232.7175453409. The cubic root of 38846768 is about 338.6764227940.

The spelling of 38846768 in words is "thirty-eight million, eight hundred forty-six thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 16 17 34 68 136 251 272 502 569 1004 1138 2008 2276 4016 4267 4552 8534 9104 9673 17068 19346 34136 38692 68272 77384 142819 154768 285638 571276 1142552 2285104 2427923 4855846 9711692 19423384 38846768