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989148840 = 2335471091609
BaseRepresentation
bin111010111101010…
…011011010101000
32112221020222010020
4322331103122220
54011210230330
6242052520440
733340424601
oct7275233250
92487228106
10989148840
11468392189
12237320120
13129c0b094
1495524da8
155bc8b210
hex3af536a8

989148840 has 128 divisors (see below), whose sum is σ = 3060288000. Its totient is φ = 255633408.

The previous prime is 989148829. The next prime is 989148847. The reversal of 989148840 is 48841989.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (989148847) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 613956 + ... + 615564.

It is an arithmetic number, because the mean of its divisors is an integer number (23908500).

Almost surely, 2989148840 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 989148840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1530144000).

989148840 is an abundant number, since it is smaller than the sum of its proper divisors (2071139160).

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

989148840 is a wasteful number, since it uses less digits than its factorization.

989148840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1779 (or 1775 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 51.

The square root of 989148840 is about 31450.7367163315. The cubic root of 989148840 is about 996.3697841464.

The spelling of 989148840 in words is "nine hundred eighty-nine million, one hundred forty-eight thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 47 60 94 109 120 141 188 218 235 282 327 376 436 470 545 564 654 705 872 940 1090 1128 1308 1410 1609 1635 1880 2180 2616 2820 3218 3270 4360 4827 5123 5640 6436 6540 8045 9654 10246 12872 13080 15369 16090 19308 20492 24135 25615 30738 32180 38616 40984 48270 51230 61476 64360 75623 76845 96540 102460 122952 151246 153690 175381 193080 204920 226869 302492 307380 350762 378115 453738 526143 604984 614760 701524 756230 876905 907476 1052286 1134345 1403048 1512460 1753810 1814952 2104572 2268690 2630715 3024920 3507620 4209144 4537380 5261430 7015240 8242907 9074760 10522860 16485814 21045720 24728721 32971628 41214535 49457442 65943256 82429070 98914884 123643605 164858140 197829768 247287210 329716280 494574420 989148840