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483405132 = 223717503673
BaseRepresentation
bin11100110100000…
…010110101001100
31020200121112011210
4130310002311030
51442222431012
6115545014420
714656606260
oct3464026514
91220545153
10483405132
11228962481
12115a84410
13791c4852
14482b60a0
152c68b23c
hex1cd02d4c

483405132 has 96 divisors (see below), whose sum is σ = 1369654272. Its totient is φ = 129540096.

The previous prime is 483405127. The next prime is 483405137. The reversal of 483405132 is 231504384.

It is an interprime number because it is at equal distance from previous prime (483405127) and next prime (483405137).

It is a super-3 number, since 3×4834051323 (a number of 27 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 483405132.

It is not an unprimeable number, because it can be changed into a prime (483405137) 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 31 ways as a sum of consecutive naturals, for example, 717948 + ... + 718620.

It is an arithmetic number, because the mean of its divisors is an integer number (14267232).

Almost surely, 2483405132 is an apocalyptic number.

483405132 is a gapful number since it is divisible by the number (42) 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 483405132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (684827136).

483405132 is an abundant number, since it is smaller than the sum of its proper divisors (886249140).

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

483405132 is a wasteful number, since it uses less digits than its factorization.

483405132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1207 (or 1205 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 483405132 is about 21986.4761160128. The cubic root of 483405132 is about 784.8206451917.

The spelling of 483405132 in words is "four hundred eighty-three million, four hundred five thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 17 21 28 34 42 51 68 84 102 119 204 238 357 476 503 673 714 1006 1346 1428 1509 2012 2019 2692 3018 3521 4038 4711 6036 7042 8076 8551 9422 10563 11441 14084 14133 17102 18844 21126 22882 25653 28266 34204 34323 42252 45764 51306 56532 59857 68646 80087 102612 119714 137292 160174 179571 239428 240261 320348 338519 359142 480522 677038 718284 961044 1015557 1354076 2031114 2369633 4062228 4739266 5754823 7108899 9478532 11509646 14217798 17264469 23019292 28435596 34528938 40283761 69057876 80567522 120851283 161135044 241702566 483405132