Search a number
-
+
38448956 = 22713531993
BaseRepresentation
bin1001001010101…
…0111100111100
32200100102001102
42102222330330
534320331311
63452032232
7644545040
oct222527474
980312042
1038448956
111a7812a7
1210a62678
137c72880
14516c020
15359743b
hex24aaf3c

38448956 has 48 divisors (see below), whose sum is σ = 84417984. Its totient is φ = 14916096.

The previous prime is 38448953. The next prime is 38448967. The reversal of 38448956 is 65984483.

It is a self number, because there is not a number n which added to its sum of digits gives 38448956.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38448953) 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, 18296 + ... + 20288.

It is an arithmetic number, because the mean of its divisors is an integer number (1758708).

Almost surely, 238448956 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 38448956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42208992).

38448956 is an abundant number, since it is smaller than the sum of its proper divisors (45969028).

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

38448956 is a wasteful number, since it uses less digits than its factorization.

38448956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2070 (or 2068 counting only the distinct ones).

The product of its digits is 829440, while the sum is 47.

The square root of 38448956 is about 6200.7222160003. The cubic root of 38448956 is about 337.5163770745.

The spelling of 38448956 in words is "thirty-eight million, four hundred forty-eight thousand, nine hundred fifty-six".

Divisors: 1 2 4 7 13 14 26 28 52 53 91 106 182 212 364 371 689 742 1378 1484 1993 2756 3986 4823 7972 9646 13951 19292 25909 27902 51818 55804 103636 105629 181363 211258 362726 422516 725452 739403 1373177 1478806 2746354 2957612 5492708 9612239 19224478 38448956