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1982497000 = 235311374871
BaseRepresentation
bin111011000101010…
…1000000011101000
312010011102021121211
41312022220003220
513030004401000
6524415442504
7100061642431
oct16612500350
95104367554
101982497000
11928082380
12473b26434
13257959663
1414b420488
15b90a67ba
hex762a80e8

1982497000 has 128 divisors (see below), whose sum is σ = 5198618880. Its totient is φ = 701280000.

The previous prime is 1982496953. The next prime is 1982497087. The reversal of 1982497000 is 7942891.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

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, 404565 + ... + 409435.

It is an arithmetic number, because the mean of its divisors is an integer number (40614210).

Almost surely, 21982497000 is an apocalyptic number.

1982497000 is a gapful number since it is divisible by the number (10) 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 1982497000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2599309440).

1982497000 is an abundant number, since it is smaller than the sum of its proper divisors (3216121880).

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

1982497000 is a wasteful number, since it uses less digits than its factorization.

1982497000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4940 (or 4926 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 40.

The square root of 1982497000 is about 44525.2400330419. The cubic root of 1982497000 is about 1256.2348760174.

The spelling of 1982497000 in words is "one billion, nine hundred eighty-two million, four hundred ninety-seven thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 37 40 44 50 55 74 88 100 110 125 148 185 200 220 250 275 296 370 407 440 500 550 740 814 925 1000 1100 1375 1480 1628 1850 2035 2200 2750 3256 3700 4070 4625 4871 5500 7400 8140 9250 9742 10175 11000 16280 18500 19484 20350 24355 37000 38968 40700 48710 50875 53581 81400 97420 101750 107162 121775 180227 194840 203500 214324 243550 267905 360454 407000 428648 487100 535810 608875 720908 901135 974200 1071620 1217750 1339525 1441816 1802270 1982497 2143240 2435500 2679050 3604540 3964994 4505675 4871000 5358100 6697625 7209080 7929988 9011350 9912485 10716200 13395250 15859976 18022700 19824970 22528375 26790500 36045400 39649940 45056750 49562425 53581000 79299880 90113500 99124850 180227000 198249700 247812125 396499400 495624250 991248500 1982497000