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485480304 = 2434521719
BaseRepresentation
bin11100111011111…
…101011101110000
31020211111221210000
4130323331131300
51443240332204
6120101310000
715013341321
oct3473753560
91224457700
10485480304
1122a04a5a1
12116705300
137977026a
1448696448
152c94b039
hex1cefd770

485480304 has 100 divisors (see below), whose sum is σ = 1409775840. Its totient is φ = 161291520.

The previous prime is 485480291. The next prime is 485480309. The reversal of 485480304 is 403084584.

It is a super-2 number, since 2×4854803042 = 471382251143864832, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (485480309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 674857 + ... + 675575.

Almost surely, 2485480304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 485480304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (704887920).

485480304 is an abundant number, since it is smaller than the sum of its proper divisors (924295536).

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

485480304 is a wasteful number, since it uses less digits than its factorization.

485480304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1260 (or 1245 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 485480304 is about 22033.6175876772. The cubic root of 485480304 is about 785.9420736986.

It can be divided in two parts, 4854 and 80304, that added together give a palindrome (85158).

The spelling of 485480304 in words is "four hundred eighty-five million, four hundred eighty thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 521 648 719 1042 1296 1438 1563 2084 2157 2876 3126 4168 4314 4689 5752 6252 6471 8336 8628 9378 11504 12504 12942 14067 17256 18756 19413 25008 25884 28134 34512 37512 38826 42201 51768 56268 58239 75024 77652 84402 103536 112536 116478 155304 168804 225072 232956 310608 337608 374599 465912 675216 749198 931824 1123797 1498396 2247594 2996792 3371391 4495188 5993584 6742782 8990376 10114173 13485564 17980752 20228346 26971128 30342519 40456692 53942256 60685038 80913384 121370076 161826768 242740152 485480304