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480822831 = 3347563673
BaseRepresentation
bin11100101010001…
…100011000101111
31020111202022221000
4130222030120233
51441042312311
6115413411343
714625632556
oct3452143057
91214668830
10480822831
11227459345
12115039b53
13787cc368
1447c02d9d
152c32b056
hex1ca8c62f

480822831 has 32 divisors (see below), whose sum is σ = 729861120. Its totient is φ = 312705792.

The previous prime is 480822821. The next prime is 480822833. The reversal of 480822831 is 138228084.

It is a happy number.

It is not a de Polignac number, because 480822831 - 29 = 480822319 is a prime.

It is a super-3 number, since 3×4808228313 (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (480822833) 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, 714111 + ... + 714783.

It is an arithmetic number, because the mean of its divisors is an integer number (22808160).

Almost surely, 2480822831 is an apocalyptic number.

480822831 is a deficient number, since it is larger than the sum of its proper divisors (249038289).

480822831 is a wasteful number, since it uses less digits than its factorization.

480822831 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1292 (or 1286 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 480822831 is about 21927.6727219283. The cubic root of 480822831 is about 783.4206720584.

The spelling of 480822831 in words is "four hundred eighty million, eight hundred twenty-two thousand, eight hundred thirty-one".

Divisors: 1 3 9 27 47 141 423 563 673 1269 1689 2019 5067 6057 15201 18171 26461 31631 79383 94893 238149 284679 378899 714447 854037 1136697 3410091 10230273 17808253 53424759 160274277 480822831