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491689600 = 2752198087
BaseRepresentation
bin11101010011101…
…001011010000000
31021021012102022221
4131103221122000
52001333031400
6120442340424
715120202243
oct3523513200
91237172287
10491689600
11232600746
121187ba714
137ab355bc
144943125a
152d275c1a
hex1d4e9680

491689600 has 96 divisors (see below), whose sum is σ = 1278712800. Its totient is φ = 186301440.

The previous prime is 491689579. The next prime is 491689603. The reversal of 491689600 is 6986194.

It is not an unprimeable number, because it can be changed into a prime (491689603) by changing a digit.

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, 56757 + ... + 64843.

It is an arithmetic number, because the mean of its divisors is an integer number (13319925).

Almost surely, 2491689600 is an apocalyptic number.

491689600 is a gapful number since it is divisible by the number (40) 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 491689600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (639356400).

491689600 is an abundant number, since it is smaller than the sum of its proper divisors (787023200).

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

491689600 is a wasteful number, since it uses less digits than its factorization.

491689600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8130 (or 8113 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 43.

The square root of 491689600 is about 22174.0749525206. The cubic root of 491689600 is about 789.2786236531.

The spelling of 491689600 in words is "four hundred ninety-one million, six hundred eighty-nine thousand, six hundred".

Divisors: 1 2 4 5 8 10 16 19 20 25 32 38 40 50 64 76 80 95 100 128 152 160 190 200 304 320 380 400 475 608 640 760 800 950 1216 1520 1600 1900 2432 3040 3200 3800 6080 7600 8087 12160 15200 16174 30400 32348 40435 60800 64696 80870 129392 153653 161740 202175 258784 307306 323480 404350 517568 614612 646960 768265 808700 1035136 1229224 1293920 1536530 1617400 2458448 2587840 3073060 3234800 3841325 4916896 5175680 6146120 6469600 7682650 9833792 12292240 12939200 15365300 19667584 24584480 25878400 30730600 49168960 61461200 98337920 122922400 245844800 491689600