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1998486432 = 253685669
BaseRepresentation
bin111011100011110…
…0111101110100000
312011021111122000000
41313013213232200
513043103031212
6530150300000
7100344566025
oct16707475640
95137448000
101998486432
11936103488
12479357600
1325b067467
1414d5c354c
15ba6b41dc
hex771e7ba0

1998486432 has 84 divisors (see below), whose sum is σ = 5899150530. Its totient is φ = 666154368.

The previous prime is 1998486377. The next prime is 1998486433. The reversal of 1998486432 is 2346848991.

It can be written as a sum of positive squares in only one way, i.e., 1710980496 + 287505936 = 41364^2 + 16956^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (1998486433) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 19507 + ... + 66162.

Almost surely, 21998486432 is an apocalyptic number.

1998486432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1998486432 is an abundant number, since it is smaller than the sum of its proper divisors (3900664098).

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

1998486432 is an frugal number, since it uses more digits than its factorization.

1998486432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85697 (or 85674 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 54.

The square root of 1998486432 is about 44704.4341424875. The cubic root of 1998486432 is about 1259.6031403211.

The spelling of 1998486432 in words is "one billion, nine hundred ninety-eight million, four hundred eighty-six thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 243 288 324 432 486 648 729 864 972 1296 1458 1944 2592 2916 3888 5832 7776 11664 23328 85669 171338 257007 342676 514014 685352 771021 1028028 1370704 1542042 2056056 2313063 2741408 3084084 4112112 4626126 6168168 6939189 8224224 9252252 12336336 13878378 18504504 20817567 24672672 27756756 37009008 41635134 55513512 62452701 74018016 83270268 111027024 124905402 166540536 222054048 249810804 333081072 499621608 666162144 999243216 1998486432