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463489440 = 2535965603
BaseRepresentation
bin11011101000000…
…100100110100000
31012022010200222120
4123220010212200
51422123130230
6113554104240
714325411111
oct3350044640
91168120876
10463489440
1121869a527
1210b27b080
137504090b
14457b0208
152aa55310
hex1ba049a0

463489440 has 48 divisors (see below), whose sum is σ = 1459993248. Its totient is φ = 123597056.

The previous prime is 463489423. The next prime is 463489441. The reversal of 463489440 is 44984364.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 463489392 and 463489401.

It is not an unprimeable number, because it can be changed into a prime (463489441) 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 7 ways as a sum of consecutive naturals, for example, 482322 + ... + 483281.

It is an arithmetic number, because the mean of its divisors is an integer number (30416526).

Almost surely, 2463489440 is an apocalyptic number.

463489440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

463489440 is an abundant number, since it is smaller than the sum of its proper divisors (996503808).

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

463489440 is a wasteful number, since it uses less digits than its factorization.

463489440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 965621 (or 965613 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 42.

The square root of 463489440 is about 21528.8048901930. The cubic root of 463489440 is about 773.8912706404.

The spelling of 463489440 in words is "four hundred sixty-three million, four hundred eighty-nine thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 965603 1931206 2896809 3862412 4828015 5793618 7724824 9656030 11587236 14484045 15449648 19312060 23174472 28968090 30899296 38624120 46348944 57936180 77248240 92697888 115872360 154496480 231744720 463489440