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491831880 = 233529791789
BaseRepresentation
bin11101010100001…
…100001001001000
31021021110122111120
4131110030021020
52001402110010
6120445355240
715121334121
oct3524141110
91237418446
10491831880
11232698631
12118868b20
137ab852a7
144946b048
152d2a2e70
hex1d50c248

491831880 has 128 divisors (see below), whose sum is σ = 1546560000. Its totient is φ = 124959744.

The previous prime is 491831869. The next prime is 491831881. The reversal of 491831880 is 88138194.

It is not an unprimeable number, because it can be changed into a prime (491831881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 274026 + ... + 275814.

It is an arithmetic number, because the mean of its divisors is an integer number (12082500).

Almost surely, 2491831880 is an apocalyptic number.

491831880 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 491831880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (773280000).

491831880 is an abundant number, since it is smaller than the sum of its proper divisors (1054728120).

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

491831880 is a wasteful number, since it uses less digits than its factorization.

491831880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1911 (or 1907 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 42.

The square root of 491831880 is about 22177.2829715455. The cubic root of 491831880 is about 789.3547473786.

The spelling of 491831880 in words is "four hundred ninety-one million, eight hundred thirty-one thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 29 30 40 58 60 79 87 116 120 145 158 174 232 237 290 316 348 395 435 474 580 632 696 790 870 948 1160 1185 1580 1740 1789 1896 2291 2370 3160 3480 3578 4582 4740 5367 6873 7156 8945 9164 9480 10734 11455 13746 14312 17890 18328 21468 22910 26835 27492 34365 35780 42936 45820 51881 53670 54984 68730 71560 91640 103762 107340 137460 141331 155643 207524 214680 259405 274920 282662 311286 415048 423993 518810 565324 622572 706655 778215 847986 1037620 1130648 1245144 1413310 1556430 1695972 2075240 2119965 2826620 3112860 3391944 4098599 4239930 5653240 6225720 8197198 8479860 12295797 16394396 16959720 20492995 24591594 32788792 40985990 49183188 61478985 81971980 98366376 122957970 163943960 245915940 491831880