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389119200 = 25352732221
BaseRepresentation
bin10111001100010…
…111110011100000
31000010012022012020
4113030113303200
51244103303300
6102340101440
712433313211
oct2714276340
91003168166
10389119200
1118a714018
12aa394880
1362801b62
1439971408
15242648a0
hex17317ce0

389119200 has 144 divisors (see below), whose sum is σ = 1284511536. Its totient is φ = 102297600.

The previous prime is 389119193. The next prime is 389119231. The reversal of 389119200 is 2911983.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 174090 + ... + 176310.

It is an arithmetic number, because the mean of its divisors is an integer number (8920219).

Almost surely, 2389119200 is an apocalyptic number.

389119200 is a gapful number since it is divisible by the number (30) 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 389119200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (642255768).

389119200 is an abundant number, since it is smaller than the sum of its proper divisors (895392336).

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

389119200 is a wasteful number, since it uses less digits than its factorization.

389119200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2317 (or 2304 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 33.

The square root of 389119200 is about 19726.1045318127. The cubic root of 389119200 is about 730.0639213433.

The spelling of 389119200 in words is "three hundred eighty-nine million, one hundred nineteen thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 73 75 80 96 100 120 146 150 160 200 219 240 292 300 365 400 438 480 584 600 730 800 876 1095 1168 1200 1460 1752 1825 2190 2221 2336 2400 2920 3504 3650 4380 4442 5475 5840 6663 7008 7300 8760 8884 10950 11105 11680 13326 14600 17520 17768 21900 22210 26652 29200 33315 35040 35536 43800 44420 53304 55525 58400 66630 71072 87600 88840 106608 111050 133260 162133 166575 175200 177680 213216 222100 266520 324266 333150 355360 444200 486399 533040 648532 666300 810665 888400 972798 1066080 1297064 1332600 1621330 1776800 1945596 2431995 2594128 2665200 3242660 3891192 4053325 4863990 5188256 5330400 6485320 7782384 8106650 9727980 12159975 12970640 15564768 16213300 19455960 24319950 25941280 32426600 38911920 48639900 64853200 77823840 97279800 129706400 194559600 389119200