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482077962 = 23229314
BaseRepresentation
bin11100101110111…
…110110100001010
31020121010002122100
4130232332310022
51441402443322
6115500334230
714642411052
oct3456766412
91217102570
10482077962
11228136343
12115544376
1378b4b742
144804c562
152c4c7dac
hex1cbbed0a

482077962 has 60 divisors (see below), whose sum is σ = 1116536850. Its totient is φ = 150146640.

The previous prime is 482077961. The next prime is 482077963. The reversal of 482077962 is 269770284.

It is an interprime number because it is at equal distance from previous prime (482077961) and next prime (482077963).

It can be written as a sum of positive squares in only one way, i.e., 407272761 + 74805201 = 20181^2 + 8649^2 .

It is a super-2 number, since 2×4820779622 = 464798322892146888, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (482077961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 15550887 + ... + 15550917.

Almost surely, 2482077962 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 482077962, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (558268425).

482077962 is an abundant number, since it is smaller than the sum of its proper divisors (634458888).

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

482077962 is an frugal number, since it uses more digits than its factorization.

482077962 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 482077962 is about 21956.2738642056. The cubic root of 482077962 is about 784.1017553699.

It can be divided in two parts, 48207 and 7962, that added together give a square (56169 = 2372).

The spelling of 482077962 in words is "four hundred eighty-two million, seventy-seven thousand, nine hundred sixty-two".

Divisors: 1 2 3 6 9 18 29 31 58 62 87 93 174 186 261 279 522 558 899 961 1798 1922 2697 2883 5394 5766 8091 8649 16182 17298 27869 29791 55738 59582 83607 89373 167214 178746 250821 268119 501642 536238 863939 923521 1727878 1847042 2591817 2770563 5183634 5541126 7775451 8311689 15550902 16623378 26782109 53564218 80346327 160692654 241038981 482077962