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482344020 = 2232511812269
BaseRepresentation
bin11100101111111…
…111110001010100
31020121121121121100
4130233333301110
51441440002040
6115510150100
714644566534
oct3457776124
91217547540
10482344020
112282a8224
12115652330
1378c12882
14480bb4c4
152c52bb30
hex1cbffc54

482344020 has 72 divisors (see below), whose sum is σ = 1464994440. Its totient is φ = 128459520.

The previous prime is 482344007. The next prime is 482344021. The reversal of 482344020 is 20443284.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 36796356 + 445547664 = 6066^2 + 21108^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (482344021) 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 23 ways as a sum of consecutive naturals, for example, 211446 + ... + 213714.

It is an arithmetic number, because the mean of its divisors is an integer number (20347145).

Almost surely, 2482344020 is an apocalyptic number.

It is an amenable number.

482344020 is an abundant number, since it is smaller than the sum of its proper divisors (982650420).

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

482344020 is a wasteful number, since it uses less digits than its factorization.

482344020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3465 (or 3460 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 482344020 is about 21962.3318434086. The cubic root of 482344020 is about 784.2459769791.

The spelling of 482344020 in words is "four hundred eighty-two million, three hundred forty-four thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 1181 2269 2362 3543 4538 4724 5905 6807 7086 9076 10629 11345 11810 13614 14172 17715 20421 21258 22690 23620 27228 34035 35430 40842 42516 45380 53145 68070 70860 81684 102105 106290 136140 204210 212580 408420 2679689 5359378 8039067 10718756 13398445 16078134 24117201 26796890 32156268 40195335 48234402 53593780 80390670 96468804 120586005 160781340 241172010 482344020