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1982526416 = 24139531377
BaseRepresentation
bin111011000101010…
…1111001111010000
312010011110202222022
41312022233033100
513030011321131
6524420231012
7100062124253
oct16612571720
95104422868
101982526416
119280a2492
12473b3b468
13257969b70
1414b42b09a
15b90b037b
hex762af3d0

1982526416 has 20 divisors (see below), whose sum is σ = 4136618052. Its totient is φ = 915012096.

The previous prime is 1982526389. The next prime is 1982526421. The reversal of 1982526416 is 6146252891.

It can be written as a sum of positive squares in 2 ways, for example, as 506430016 + 1476096400 = 22504^2 + 38420^2 .

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 4765481 + ... + 4765896.

Almost surely, 21982526416 is an apocalyptic number.

1982526416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1982526416 is an abundant number, since it is smaller than the sum of its proper divisors (2154091636).

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

1982526416 is a wasteful number, since it uses less digits than its factorization.

1982526416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9531398 (or 9531392 counting only the distinct ones).

The product of its digits is 207360, while the sum is 44.

The square root of 1982526416 is about 44525.5703613104. The cubic root of 1982526416 is about 1256.2410892630.

The spelling of 1982526416 in words is "one billion, nine hundred eighty-two million, five hundred twenty-six thousand, four hundred sixteen".

Divisors: 1 2 4 8 13 16 26 52 104 208 9531377 19062754 38125508 76251016 123907901 152502032 247815802 495631604 991263208 1982526416