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490969440 = 253251326227
BaseRepresentation
bin11101010000111…
…001100101100000
31021012211211110100
4131100321211200
52001142010230
6120415102400
715111112533
oct3520714540
91235754410
10490969440
11232159675
12118511a00
137a942880
14492c4a1a
152d182660
hex1d439960

490969440 has 144 divisors (see below), whose sum is σ = 1804381488. Its totient is φ = 120849408.

The previous prime is 490969439. The next prime is 490969441. The reversal of 490969440 is 44969094.

It is an interprime number because it is at equal distance from previous prime (490969439) and next prime (490969441).

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (490969441) 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 23 ways as a sum of consecutive naturals, for example, 5607 + ... + 31833.

It is an arithmetic number, because the mean of its divisors is an integer number (12530427).

Almost surely, 2490969440 is an apocalyptic number.

490969440 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 490969440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (902190744).

490969440 is an abundant number, since it is smaller than the sum of its proper divisors (1313412048).

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

490969440 is a wasteful number, since it uses less digits than its factorization.

490969440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26261 (or 26250 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 490969440 is about 22157.8302186834. The cubic root of 490969440 is about 788.8930927355.

The spelling of 490969440 in words is "four hundred ninety million, nine hundred sixty-nine thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 30 32 36 39 40 45 48 52 60 65 72 78 80 90 96 104 117 120 130 144 156 160 180 195 208 234 240 260 288 312 360 390 416 468 480 520 585 624 720 780 936 1040 1170 1248 1440 1560 1872 2080 2340 3120 3744 4680 6240 9360 18720 26227 52454 78681 104908 131135 157362 209816 236043 262270 314724 340951 393405 419632 472086 524540 629448 681902 786810 839264 944172 1022853 1049080 1180215 1258896 1363804 1573620 1704755 1888344 2045706 2098160 2360430 2517792 2727608 3068559 3147240 3409510 3776688 4091412 4196320 4720860 5114265 5455216 6137118 6294480 6819020 7553376 8182824 9441720 10228530 10910432 12274236 12588960 13638040 15342795 16365648 18883440 20457060 24548472 27276080 30685590 32731296 37766880 40914120 49096944 54552160 61371180 81828240 98193888 122742360 163656480 245484720 490969440