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491093680 = 24573111627
BaseRepresentation
bin11101010001010…
…111111010110000
31021020002010212211
4131101113322300
52001204444210
6120421501504
715112141000
oct3521277260
91236063784
10491093680
11232233a50
12118571894
137a98729c
1449318000
152d1a938a
hex1d457eb0

491093680 has 160 divisors (see below), whose sum is σ = 1453478400. Its totient is φ = 152974080.

The previous prime is 491093657. The next prime is 491093693. The reversal of 491093680 is 86390194.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 301027 + ... + 302653.

It is an arithmetic number, because the mean of its divisors is an integer number (9084240).

Almost surely, 2491093680 is an apocalyptic number.

491093680 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 491093680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (726739200).

491093680 is an abundant number, since it is smaller than the sum of its proper divisors (962384720).

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

491093680 is a wasteful number, since it uses less digits than its factorization.

491093680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1672 (or 1652 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 40.

The square root of 491093680 is about 22160.6335649503. The cubic root of 491093680 is about 788.9596303539.

The spelling of 491093680 in words is "four hundred ninety-one million, ninety-three thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 35 40 44 49 55 56 70 77 80 88 98 110 112 140 154 176 196 220 245 280 308 343 385 392 440 490 539 560 616 686 770 784 880 980 1078 1232 1372 1540 1627 1715 1960 2156 2695 2744 3080 3254 3430 3773 3920 4312 5390 5488 6160 6508 6860 7546 8135 8624 10780 11389 13016 13720 15092 16270 17897 18865 21560 22778 26032 27440 30184 32540 35794 37730 43120 45556 56945 60368 65080 71588 75460 79723 89485 91112 113890 125279 130160 143176 150920 159446 178970 182224 227780 250558 286352 301840 318892 357940 398615 455560 501116 558061 626395 637784 715880 797230 876953 911120 1002232 1116122 1252790 1275568 1431760 1594460 1753906 2004464 2232244 2505580 2790305 3188920 3507812 4384765 4464488 5011160 5580610 6138671 6377840 7015624 8769530 8928976 10022320 11161220 12277342 14031248 17539060 22322440 24554684 30693355 35078120 44644880 49109368 61386710 70156240 98218736 122773420 245546840 491093680