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1982208 = 2832989
BaseRepresentation
bin111100011111100000000
310201201002010
413203330000
51001412313
6110252520
722564014
oct7437400
93651063
101982208
111134298
127b7140
13545307
14398544
152924c3
hex1e3f00

1982208 has 72 divisors (see below), whose sum is σ = 5518800. Its totient is φ = 630784.

The previous prime is 1982207. The next prime is 1982219. The reversal of 1982208 is 8022891.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1982203) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22228 + ... + 22316.

It is an arithmetic number, because the mean of its divisors is an integer number (76650).

21982208 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 1982208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2759400).

1982208 is an abundant number, since it is smaller than the sum of its proper divisors (3536592).

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

1982208 is an equidigital number, since it uses as much as digits as its factorization.

1982208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 30.

The square root of 1982208 is about 1407.9090879741. The cubic root of 1982208 is about 125.6173830188.

The spelling of 1982208 in words is "one million, nine hundred eighty-two thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 64 87 89 96 116 128 174 178 192 232 256 267 348 356 384 464 534 696 712 768 928 1068 1392 1424 1856 2136 2581 2784 2848 3712 4272 5162 5568 5696 7424 7743 8544 10324 11136 11392 15486 17088 20648 22272 22784 30972 34176 41296 61944 68352 82592 123888 165184 247776 330368 495552 660736 991104 1982208