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1982328426 = 2321324431471
BaseRepresentation
bin111011000100111…
…1110111001101010
312010011002201101100
41312021332321222
513024434002201
6524412102230
7100060341111
oct16611767152
95104081340
101982328426
11927a77761
12473a64976
132578caa00
1414b3b8c78
15b9071886
hex7627ee6a

1982328426 has 72 divisors (see below), whose sum is σ = 4664514816. Its totient is φ = 608156640.

The previous prime is 1982328343. The next prime is 1982328427. The reversal of 1982328426 is 6248232891.

1982328426 is a `hidden beast` number, since 198 + 2 + 32 + 8 + 426 = 666.

It is not an unprimeable number, because it can be changed into a prime (1982328427) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1346871 + ... + 1348341.

It is an arithmetic number, because the mean of its divisors is an integer number (64784928).

Almost surely, 21982328426 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1982328426, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2332257408).

1982328426 is an abundant number, since it is smaller than the sum of its proper divisors (2682186390).

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

1982328426 is a wasteful number, since it uses less digits than its factorization.

1982328426 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1948 (or 1932 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The square root of 1982328426 is about 44523.3469766144. The cubic root of 1982328426 is about 1256.1992686427.

The spelling of 1982328426 in words is "one billion, nine hundred eighty-two million, three hundred twenty-eight thousand, four hundred twenty-six".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 169 234 338 443 507 886 1014 1329 1471 1521 2658 2942 3042 3987 4413 5759 7974 8826 11518 13239 17277 19123 26478 34554 38246 51831 57369 74867 103662 114738 149734 172107 224601 248599 344214 449202 497198 651653 673803 745797 1303306 1347606 1491594 1954959 2237391 3909918 4474782 5864877 8471489 11729754 16942978 25414467 50828934 76243401 110129357 152486802 220258714 330388071 660776142 991164213 1982328426