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480808632 = 23329690817
BaseRepresentation
bin11100101010001…
…000111010111000
31020111201121110010
4130222020322320
51441041334012
6115413221520
714625543303
oct3452107270
91214647403
10480808632
11227449707
121150318a0
13787c5a65
1447bdbb3a
152c326c3c
hex1ca88eb8

480808632 has 32 divisors (see below), whose sum is σ = 1243472400. Its totient is φ = 154742784.

The previous prime is 480808631. The next prime is 480808639. The reversal of 480808632 is 236808084.

It is a super-3 number, since 3×4808086323 (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 (480808631) 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, 344713 + ... + 346104.

Almost surely, 2480808632 is an apocalyptic number.

It is an amenable number.

480808632 is an abundant number, since it is smaller than the sum of its proper divisors (762663768).

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

480808632 is a wasteful number, since it uses less digits than its factorization.

480808632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 690855 (or 690851 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 39.

The square root of 480808632 is about 21927.3489505686. The cubic root of 480808632 is about 783.4129603478.

The spelling of 480808632 in words is "four hundred eighty million, eight hundred eight thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 24 29 58 87 116 174 232 348 696 690817 1381634 2072451 2763268 4144902 5526536 8289804 16579608 20033693 40067386 60101079 80134772 120202158 160269544 240404316 480808632