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485482248 = 23342932557
BaseRepresentation
bin11100111011111…
…101111100001000
31020211112001110000
4130323331330020
51443240412443
6120101323000
715013350066
oct3473757410
91224461400
10485482248
1122a050aa9
12116706460
1379771104
1448697036
152c94b8d3
hex1cefdf08

485482248 has 80 divisors (see below), whose sum is σ = 1364974380. Its totient is φ = 161212032.

The previous prime is 485482247. The next prime is 485482303. The reversal of 485482248 is 842284584.

485482248 is a `hidden beast` number, since 48 + 548 + 22 + 48 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 458045604 + 27436644 = 21402^2 + 5238^2 .

It is not an unprimeable number, because it can be changed into a prime (485482247) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 188586 + ... + 191142.

Almost surely, 2485482248 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 485482248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (682487190).

485482248 is an abundant number, since it is smaller than the sum of its proper divisors (879492132).

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

485482248 is a wasteful number, since it uses less digits than its factorization.

485482248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2868 (or 2855 counting only the distinct ones).

The product of its digits is 655360, while the sum is 45.

The square root of 485482248 is about 22033.6617020413. The cubic root of 485482248 is about 785.9431227417.

The spelling of 485482248 in words is "four hundred eighty-five million, four hundred eighty-two thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 293 324 586 648 879 1172 1758 2344 2557 2637 3516 5114 5274 7032 7671 7911 10228 10548 15342 15822 20456 21096 23013 23733 30684 31644 46026 47466 61368 63288 69039 92052 94932 138078 184104 189864 207117 276156 414234 552312 749201 828468 1498402 1656936 2247603 2996804 4495206 5993608 6742809 8990412 13485618 17980824 20228427 26971236 40456854 53942472 60685281 80913708 121370562 161827416 242741124 485482248