Search a number
-
+
1984003992 = 233251675333
BaseRepresentation
bin111011001000001…
…0111111110011000
312010021020211211100
41312100113332120
513030401111432
6524512031400
7100110520125
oct16620277630
95107224740
101984003992
11928a11623
12474532560
13258066579
1414b6d374c
15b92a307c
hex76417f98

1984003992 has 48 divisors (see below), whose sum is σ = 5375391840. Its totient is φ = 661082688.

The previous prime is 1984003871. The next prime is 1984004021. The reversal of 1984003992 is 2993004891.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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 11 ways as a sum of consecutive naturals, for example, 369358 + ... + 374690.

It is an arithmetic number, because the mean of its divisors is an integer number (111987330).

Almost surely, 21984003992 is an apocalyptic number.

1984003992 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1984003992 is an abundant number, since it is smaller than the sum of its proper divisors (3391387848).

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

1984003992 is a wasteful number, since it uses less digits than its factorization.

1984003992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10512 (or 10505 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The square root of 1984003992 is about 44542.1597141405. The cubic root of 1984003992 is about 1256.5531037242.

The spelling of 1984003992 in words is "one billion, nine hundred eighty-four million, three thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 5167 5333 10334 10666 15501 15999 20668 21332 31002 31998 41336 42664 46503 47997 62004 63996 93006 95994 124008 127992 186012 191988 372024 383976 27555611 55111222 82666833 110222444 165333666 220444888 248000499 330667332 496000998 661334664 992001996 1984003992