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465485022 = 23361251563
BaseRepresentation
bin11011101111101…
…011110011011110
31012102220002102000
4123233223303132
51423131010042
6114104543130
714351362122
oct3357536336
91172802360
10465485022
11219832872
1210ba81aa6
137558c032
1445b6d582
152aceb74c
hex1bbebcde

465485022 has 64 divisors (see below), whose sum is σ = 1057432320. Its totient is φ = 151740000.

The previous prime is 465485021. The next prime is 465485029. The reversal of 465485022 is 220584564.

It is a happy number.

465485022 is a `hidden beast` number, since 46 + 548 + 50 + 22 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (465485021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 826513 + ... + 827075.

It is an arithmetic number, because the mean of its divisors is an integer number (16522380).

Almost surely, 2465485022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 465485022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (528716160).

465485022 is an abundant number, since it is smaller than the sum of its proper divisors (591947298).

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

465485022 is a wasteful number, since it uses less digits than its factorization.

465485022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 886 (or 880 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The square root of 465485022 is about 21575.1019001070. The cubic root of 465485022 is about 775.0003590702. Note that the first 3 decimals are identical.

It can be divided in two parts, 4654 and 85022, that added together give a triangular number (89676 = T423).

The spelling of 465485022 in words is "four hundred sixty-five million, four hundred eighty-five thousand, twenty-two".

Divisors: 1 2 3 6 9 18 27 54 61 122 183 251 366 502 549 563 753 1098 1126 1506 1647 1689 2259 3294 3378 4518 5067 6777 10134 13554 15201 15311 30402 30622 34343 45933 68686 91866 103029 137799 141313 206058 275598 282626 309087 413397 423939 618174 826794 847878 927261 1271817 1854522 2543634 3815451 7630902 8620093 17240186 25860279 51720558 77580837 155161674 232742511 465485022