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1849000000 = 2656432
BaseRepresentation
bin110111000110101…
…1000000001000000
311202212012221011111
41232031120001000
512241321000000
6503250253104
763551145361
oct15615300100
94685187144
101849000000
11869792081
12437287194
132360b8253
141377cdb68
15ac4d6cba
hex6e358040

1849000000 has 147 divisors (see below), whose sum is σ = 4695467241. Its totient is φ = 722400000.

The previous prime is 1848999989. The next prime is 1849000003. The reversal of 1849000000 is 9481.

The square root of 1849000000 is 43000.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 3 ways, for example, as 1619901504 + 229098496 = 40248^2 + 15136^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1849000003) 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 20 ways as a sum of consecutive naturals, for example, 42999979 + ... + 43000021.

Almost surely, 21849000000 is an apocalyptic number.

1849000000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1849000000 is the 43000-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1849000000

1849000000 is an abundant number, since it is smaller than the sum of its proper divisors (2846467241).

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

1849000000 is an frugal number, since it uses more digits than its factorization.

1849000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 22.

The cubic root of 1849000000 is about 1227.3797969521.

Adding to 1849000000 its reverse (9481), we get a palindrome (1849009481).

The spelling of 1849000000 in words is "one billion, eight hundred forty-nine million", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 25 32 40 43 50 64 80 86 100 125 160 172 200 215 250 320 344 400 430 500 625 688 800 860 1000 1075 1250 1376 1600 1720 1849 2000 2150 2500 2752 3125 3440 3698 4000 4300 5000 5375 6250 6880 7396 8000 8600 9245 10000 10750 12500 13760 14792 15625 17200 18490 20000 21500 25000 26875 29584 31250 34400 36980 40000 43000 46225 50000 53750 59168 62500 68800 73960 86000 92450 100000 107500 118336 125000 134375 147920 172000 184900 200000 215000 231125 250000 268750 295840 344000 369800 430000 462250 500000 537500 591680 671875 739600 860000 924500 1000000 1075000 1155625 1343750 1479200 1720000 1849000 2150000 2311250 2687500 2958400 3698000 4300000 4622500 5375000 5778125 7396000 8600000 9245000 10750000 11556250 14792000 18490000 21500000 23112500 28890625 36980000 43000000 46225000 57781250 73960000 92450000 115562500 184900000 231125000 369800000 462250000 924500000 1849000000