Search a number
-
+
480822832 = 24717252533
BaseRepresentation
bin11100101010001…
…100011000110000
31020111202022221001
4130222030120300
51441042312312
6115413411344
714625632560
oct3452143060
91214668831
10480822832
11227459346
12115039b54
13787cc369
1447c02da0
152c32b057
hex1ca8c630

480822832 has 40 divisors (see below), whose sum is σ = 1127311776. Its totient is φ = 193944576.

The previous prime is 480822821. The next prime is 480822833. The reversal of 480822832 is 238228084.

It is a super-3 number, since 3×4808228323 (a number of 27 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 480822791 and 480822800.

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 7 ways as a sum of consecutive naturals, for example, 124363 + ... + 128170.

Almost surely, 2480822832 is an apocalyptic number.

It is an amenable number.

480822832 is an abundant number, since it is smaller than the sum of its proper divisors (646488944).

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

480822832 is a wasteful number, since it uses less digits than its factorization.

480822832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252565 (or 252559 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 37.

The square root of 480822832 is about 21927.6727447306. The cubic root of 480822832 is about 783.4206726015.

The spelling of 480822832 in words is "four hundred eighty million, eight hundred twenty-two thousand, eight hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 17 28 34 56 68 112 119 136 238 272 476 952 1904 252533 505066 1010132 1767731 2020264 3535462 4040528 4293061 7070924 8586122 14141848 17172244 28283696 30051427 34344488 60102854 68688976 120205708 240411416 480822832