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1984942032 = 2431711932039
BaseRepresentation
bin111011001001111…
…1100111111010000
312010100000111120120
41312103330333100
513031121121112
6524544110240
7100121505003
oct16623747720
95110014516
101984942032
119294a2367
12474905380
13258304518
1414b89953a
15b93dae8c
hex764fcfd0

1984942032 has 80 divisors (see below), whose sum is σ = 5436616320. Its totient is φ = 621899776.

The previous prime is 1984942019. The next prime is 1984942039. The reversal of 1984942032 is 2302494891.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1984942039) 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 15 ways as a sum of consecutive naturals, for example, 972469 + ... + 974507.

It is an arithmetic number, because the mean of its divisors is an integer number (67957704).

Almost surely, 21984942032 is an apocalyptic number.

1984942032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1984942032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2718308160).

1984942032 is an abundant number, since it is smaller than the sum of its proper divisors (3451674288).

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

1984942032 is a wasteful number, since it uses less digits than its factorization.

1984942032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3260 (or 3254 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The square root of 1984942032 is about 44552.6882690596. The cubic root of 1984942032 is about 1256.7511059063.

The spelling of 1984942032 in words is "one billion, nine hundred eighty-four million, nine hundred forty-two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 102 136 204 272 408 816 1193 2039 2386 3579 4078 4772 6117 7158 8156 9544 12234 14316 16312 19088 20281 24468 28632 32624 34663 40562 48936 57264 60843 69326 81124 97872 103989 121686 138652 162248 207978 243372 277304 324496 415956 486744 554608 831912 973488 1663824 2432527 4865054 7297581 9730108 14595162 19460216 29190324 38920432 41352959 58380648 82705918 116761296 124058877 165411836 248117754 330823672 496235508 661647344 992471016 1984942032