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490630212 = 2232373371093
BaseRepresentation
bin11101001111100…
…110110001000100
31021012012121010100
4131033212301010
52001100131322
6120403524100
715105200532
oct3517466104
91235177110
10490630212
11231a47816
12118389630
137a854347
1449237152
152d116dac
hex1d3e6c44

490630212 has 72 divisors (see below), whose sum is σ = 1278671576. Its totient is φ = 158505984.

The previous prime is 490630199. The next prime is 490630237. The reversal of 490630212 is 212036094.

490630212 is a `hidden beast` number, since 4 + 9 + 0 + 630 + 21 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 268500996 + 222129216 = 16386^2 + 14904^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 448338 + ... + 449430.

Almost surely, 2490630212 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 490630212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (639335788).

490630212 is an abundant number, since it is smaller than the sum of its proper divisors (788041364).

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

490630212 is a wasteful number, since it uses less digits than its factorization.

490630212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1477 (or 1472 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 490630212 is about 22150.1740850947. The cubic root of 490630212 is about 788.7113595747.

The spelling of 490630212 in words is "four hundred ninety million, six hundred thirty thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 222 333 337 444 666 674 1011 1093 1332 1348 2022 2186 3033 3279 4044 4372 6066 6558 9837 12132 12469 13116 19674 24938 37407 39348 40441 49876 74814 80882 112221 121323 149628 161764 224442 242646 363969 368341 448884 485292 727938 736682 1105023 1455876 1473364 2210046 3315069 4420092 6630138 13260276 13628617 27257234 40885851 54514468 81771702 122657553 163543404 245315106 490630212