Search a number
-
+
1998984456 = 233273966239
BaseRepresentation
bin111011100100110…
…0001010100001000
312011022102221011100
41313021201110020
513043220000311
6530205101400
7100352042010
oct16711412410
95138387140
101998984456
11936413677
12479557860
1325b1b0051
1414d6b2c40
15ba761a56
hex77261508

1998984456 has 48 divisors (see below), whose sum is σ = 6187334400. Its totient is φ = 571138272.

The previous prime is 1998984431. The next prime is 1998984467. The reversal of 1998984456 is 6544898991.

1998984456 is a `hidden beast` number, since 1 + 9 + 98 + 98 + 4 + 456 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 1998984393 and 1998984402.

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 11 ways as a sum of consecutive naturals, for example, 1982616 + ... + 1983623.

It is an arithmetic number, because the mean of its divisors is an integer number (128902800).

Almost surely, 21998984456 is an apocalyptic number.

It is an amenable number.

1998984456 is an abundant number, since it is smaller than the sum of its proper divisors (4188349944).

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

1998984456 is a wasteful number, since it uses less digits than its factorization.

1998984456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3966258 (or 3966251 counting only the distinct ones).

The product of its digits is 22394880, while the sum is 63.

The square root of 1998984456 is about 44710.0039812121. The cubic root of 1998984456 is about 1259.7077629133.

The spelling of 1998984456 in words is "one billion, nine hundred ninety-eight million, nine hundred eighty-four thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 3966239 7932478 11898717 15864956 23797434 27763673 31729912 35696151 47594868 55527346 71392302 83291019 95189736 111054692 142784604 166582038 222109384 249873057 285569208 333164076 499746114 666328152 999492228 1998984456