Search a number
-
+
38287728 = 243431953
BaseRepresentation
bin1001001000001…
…1100101110000
32200001012220000
42102003211300
534300201403
63444350000
7643304013
oct222034560
980035800
1038287728
111a681156
12109a5300
137c1737b
14512937a
1535647a3
hex2483970

38287728 has 100 divisors (see below), whose sum is σ = 114510528. Its totient is φ = 12337920.

The previous prime is 38287721. The next prime is 38287729. The reversal of 38287728 is 82778283.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38287721) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 39700 + ... + 40652.

Almost surely, 238287728 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 38287728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57255264).

38287728 is an abundant number, since it is smaller than the sum of its proper divisors (76222800).

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

38287728 is a wasteful number, since it uses less digits than its factorization.

38287728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1004 (or 989 counting only the distinct ones).

The product of its digits is 301056, while the sum is 45.

The square root of 38287728 is about 6187.7078146920. The cubic root of 38287728 is about 337.0439469906.

The spelling of 38287728 in words is "thirty-eight million, two hundred eighty-seven thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 36 48 54 62 72 81 93 108 124 144 162 186 216 248 279 324 372 432 496 558 648 744 837 953 1116 1296 1488 1674 1906 2232 2511 2859 3348 3812 4464 5022 5718 6696 7624 8577 10044 11436 13392 15248 17154 20088 22872 25731 29543 34308 40176 45744 51462 59086 68616 77193 88629 102924 118172 137232 154386 177258 205848 236344 265887 308772 354516 411696 472688 531774 617544 709032 797661 1063548 1235088 1418064 1595322 2127096 2392983 3190644 4254192 4785966 6381288 9571932 12762576 19143864 38287728