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1982356008 = 2333113212017
BaseRepresentation
bin111011000101000…
…0101101000101000
312010011011010012220
41312022011220220
513024440343013
6524412434040
7100060514403
oct16612055050
95104133186
101982356008
11927a96456
12473a78920
1325790a429
1414b3c4d3a
15b9079b23
hex76285a28

1982356008 has 64 divisors (see below), whose sum is σ = 5122168320. Its totient is φ = 638668800.

The previous prime is 1982355971. The next prime is 1982356049. The reversal of 1982356008 is 8006532891.

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 15 ways as a sum of consecutive naturals, for example, 981816 + ... + 983832.

It is an arithmetic number, because the mean of its divisors is an integer number (80033880).

Almost surely, 21982356008 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 1982356008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2561084160).

1982356008 is an abundant number, since it is smaller than the sum of its proper divisors (3139812312).

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

1982356008 is a wasteful number, since it uses less digits than its factorization.

1982356008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3378 (or 3374 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 42.

The square root of 1982356008 is about 44523.6567231399. The cubic root of 1982356008 is about 1256.2050948430.

Adding to 1982356008 its reverse (8006532891), we get a palindrome (9988888899).

The spelling of 1982356008 in words is "one billion, nine hundred eighty-two million, three hundred fifty-six thousand, eight".

Divisors: 1 2 3 4 6 8 12 24 31 62 93 124 186 248 372 744 1321 2017 2642 3963 4034 5284 6051 7926 8068 10568 12102 15852 16136 24204 31704 40951 48408 62527 81902 122853 125054 163804 187581 245706 250108 327608 375162 491412 500216 750324 982824 1500648 2664457 5328914 7993371 10657828 15986742 21315656 31973484 63946968 82598167 165196334 247794501 330392668 495589002 660785336 991178004 1982356008