Search a number
-
+
38378028 = 223133761109
BaseRepresentation
bin1001001001100…
…1101000101100
32200012210202110
42102121220230
534311044103
63450324020
7644131203
oct222315054
980183673
1038378028
111a732a87
1210a29610
137c494c0
14515023a
153581403
hex2499a2c

38378028 has 96 divisors (see below), whose sum is σ = 101590720. Its totient is φ = 11197440.

The previous prime is 38377987. The next prime is 38378029. The reversal of 38378028 is 82087383.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (38378029) 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 31 ways as a sum of consecutive naturals, for example, 352038 + ... + 352146.

Almost surely, 238378028 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 38378028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50795360).

38378028 is an abundant number, since it is smaller than the sum of its proper divisors (63212692).

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

38378028 is a wasteful number, since it uses less digits than its factorization.

38378028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The square root of 38378028 is about 6195.0002421307. Note that the first 3 decimals coincide. The cubic root of 38378028 is about 337.3087069602.

The spelling of 38378028 in words is "thirty-eight million, three hundred seventy-eight thousand, twenty-eight".

Divisors: 1 2 3 4 6 12 13 26 37 39 52 61 74 78 109 111 122 148 156 183 218 222 244 327 366 436 444 481 654 732 793 962 1308 1417 1443 1586 1924 2257 2379 2834 2886 3172 4033 4251 4514 4758 5668 5772 6649 6771 8066 8502 9028 9516 12099 13298 13542 16132 17004 19947 24198 26596 27084 29341 39894 48396 52429 58682 79788 86437 88023 104858 117364 157287 172874 176046 209716 246013 259311 314574 345748 352092 492026 518622 629148 738039 984052 1037244 1476078 2952156 3198169 6396338 9594507 12792676 19189014 38378028