Search a number
-
+
38441364 = 22313317949
BaseRepresentation
bin1001001010100…
…1000110010100
32200100000122020
42102221012110
534320110424
63451533140
7644513643
oct222510624
980300566
1038441364
111a776625
1210a5a1b0
137c6c290
14516935a
153595079
hex24a9194

38441364 has 48 divisors (see below), whose sum is σ = 99724800. Its totient is φ = 11445120.

The previous prime is 38441363. The next prime is 38441371. The reversal of 38441364 is 46314483.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38441363) 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, 862 + ... + 8810.

It is an arithmetic number, because the mean of its divisors is an integer number (2077600).

Almost surely, 238441364 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 38441364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49862400).

38441364 is an abundant number, since it is smaller than the sum of its proper divisors (61283436).

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

38441364 is a wasteful number, since it uses less digits than its factorization.

38441364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8000 (or 7998 counting only the distinct ones).

The product of its digits is 27648, while the sum is 33.

The square root of 38441364 is about 6200.1099990242. The cubic root of 38441364 is about 337.4941606671.

The spelling of 38441364 in words is "thirty-eight million, four hundred forty-one thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 12 13 26 31 39 52 62 78 93 124 156 186 372 403 806 1209 1612 2418 4836 7949 15898 23847 31796 47694 95388 103337 206674 246419 310011 413348 492838 620022 739257 985676 1240044 1478514 2957028 3203447 6406894 9610341 12813788 19220682 38441364