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494398320 = 243513211751
BaseRepresentation
bin11101011101111…
…110101101110000
31021110022000222220
4131131332231300
52003031221240
6121020401040
715152213343
oct3535765560
91243260886
10494398320
11234090859
121196a6180
137b5734b0
144993845a
152d60d5d0
hex1d77eb70

494398320 has 160 divisors (see below), whose sum is σ = 1660560384. Its totient is φ = 120960000.

The previous prime is 494398291. The next prime is 494398327. The reversal of 494398320 is 23893494.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (494398327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 657945 + ... + 658695.

Almost surely, 2494398320 is an apocalyptic number.

494398320 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 494398320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (830280192).

494398320 is an abundant number, since it is smaller than the sum of its proper divisors (1166162064).

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

494398320 is a wasteful number, since it uses less digits than its factorization.

494398320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 991 (or 985 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 42.

The square root of 494398320 is about 22235.0695973725. The cubic root of 494398320 is about 790.7253499355.

The spelling of 494398320 in words is "four hundred ninety-four million, three hundred ninety-eight thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 195 208 211 240 260 312 390 422 520 624 633 751 780 844 1040 1055 1266 1502 1560 1688 2110 2253 2532 2743 3004 3120 3165 3376 3755 4220 4506 5064 5486 6008 6330 7510 8229 8440 9012 9763 10128 10972 11265 12016 12660 13715 15020 16458 16880 18024 19526 21944 22530 25320 27430 29289 30040 32916 36048 39052 41145 43888 45060 48815 50640 54860 58578 60080 65832 78104 82290 90120 97630 109720 117156 131664 146445 156208 158461 164580 180240 195260 219440 234312 292890 316922 329160 390520 468624 475383 585780 633844 658320 781040 792305 950766 1171560 1267688 1584610 1901532 2059993 2343120 2376915 2535376 3169220 3803064 4119986 4753830 6179979 6338440 7606128 8239972 9507660 10299965 12359958 12676880 16479944 19015320 20599930 24719916 30899895 32959888 38030640 41199860 49439832 61799790 82399720 98879664 123599580 164799440 247199160 494398320