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389905992 = 233271922143
BaseRepresentation
bin10111001111010…
…111111001001000
31000011200021110200
4113033113321020
51244303442432
6102405012200
712443101110
oct2717277110
91004607420
10389905992
11190101163
12aa6b4060
1362a19008
1439ad8040
152436ca7c
hex173d7e48

389905992 has 144 divisors (see below), whose sum is σ = 1274307840. Its totient is φ = 105489216.

The previous prime is 389905979. The next prime is 389905993. The reversal of 389905992 is 299509983.

It is not an unprimeable number, because it can be changed into a prime (389905993) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 180873 + ... + 183015.

It is an arithmetic number, because the mean of its divisors is an integer number (8849360).

Almost surely, 2389905992 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 389905992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (637153920).

389905992 is an abundant number, since it is smaller than the sum of its proper divisors (884401848).

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

389905992 is a wasteful number, since it uses less digits than its factorization.

389905992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2200 (or 2174 counting only the distinct ones).

The product of its (nonzero) digits is 1574640, while the sum is 54.

The square root of 389905992 is about 19746.0373746228. The cubic root of 389905992 is about 730.5556487619. Note that the first 3 decimals are identical.

The spelling of 389905992 in words is "three hundred eighty-nine million, nine hundred five thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 19 21 24 28 36 38 42 56 57 63 72 76 84 114 126 133 152 168 171 228 252 266 342 361 399 456 504 532 684 722 798 1064 1083 1197 1368 1444 1596 2143 2166 2394 2527 2888 3192 3249 4286 4332 4788 5054 6429 6498 7581 8572 8664 9576 10108 12858 12996 15001 15162 17144 19287 20216 22743 25716 25992 30002 30324 38574 40717 45003 45486 51432 60004 60648 77148 81434 90006 90972 120008 122151 135009 154296 162868 180012 181944 244302 270018 285019 325736 360024 366453 488604 540036 570038 732906 773623 855057 977208 1080072 1140076 1465812 1547246 1710114 2280152 2320869 2565171 2931624 3094492 3420228 4641738 5130342 5415361 6188984 6840456 6962607 9283476 10260684 10830722 13925214 16246083 18566952 20521368 21661444 27850428 32492166 43322888 48738249 55700856 64984332 97476498 129968664 194952996 389905992