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387149928 = 233111979977
BaseRepresentation
bin10111000100110…
…111000001101000
3222222111020212020
4113010313001220
51243102244203
6102225544440
712410501664
oct2704670150
9888436766
10387149928
11189599520
12a97a5120
13622926c9
14395bb8a4
1523ec6153
hex17137068

387149928 has 128 divisors (see below), whose sum is σ = 1126656000. Its totient is φ = 109624320.

The previous prime is 387149863. The next prime is 387149929. The reversal of 387149928 is 829941783.

It is not an unprimeable number, because it can be changed into a prime (387149929) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 395776 + ... + 396752.

It is an arithmetic number, because the mean of its divisors is an integer number (8802000).

Almost surely, 2387149928 is an apocalyptic number.

387149928 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 387149928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (563328000).

387149928 is an abundant number, since it is smaller than the sum of its proper divisors (739506072).

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

387149928 is a wasteful number, since it uses less digits than its factorization.

387149928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1095 (or 1091 counting only the distinct ones).

The product of its digits is 870912, while the sum is 51.

The square root of 387149928 is about 19676.1258381827. The cubic root of 387149928 is about 728.8302577283.

The spelling of 387149928 in words is "three hundred eighty-seven million, one hundred forty-nine thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 11 12 19 22 24 33 38 44 57 66 76 79 88 114 132 152 158 209 228 237 264 316 418 456 474 627 632 836 869 948 977 1254 1501 1672 1738 1896 1954 2508 2607 2931 3002 3476 3908 4503 5016 5214 5862 6004 6952 7816 9006 10428 10747 11724 12008 16511 18012 18563 20856 21494 23448 32241 33022 36024 37126 42988 49533 55689 64482 66044 74252 77183 85976 99066 111378 128964 132088 148504 154366 198132 204193 222756 231549 257928 308732 396264 408386 445512 463098 612579 617464 816772 849013 926196 1225158 1466477 1633544 1698026 1852392 2450316 2547039 2932954 3396052 4399431 4900632 5094078 5865908 6792104 8798862 10188156 11731816 16131247 17597724 20376312 32262494 35195448 48393741 64524988 96787482 129049976 193574964 387149928