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490641822 = 232113177817
BaseRepresentation
bin11101001111101…
…001100110011110
31021012020012001100
4131033221212132
52001101014242
6120404053530
715105246426
oct3517514636
91235205040
10490641822
11231a55510
121183942a6
137a859708
144923b486
152d11a54c
hex1d3e999e

490641822 has 48 divisors (see below), whose sum is σ = 1163506032. Its totient is φ = 148191360.

The previous prime is 490641797. The next prime is 490641859. The reversal of 490641822 is 228146094.

490641822 is a `hidden beast` number, since 4 + 9 + 0 + 641 + 8 + 2 + 2 = 666.

It is a congruent number.

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, 58858 + ... + 66674.

It is an arithmetic number, because the mean of its divisors is an integer number (24239709).

Almost surely, 2490641822 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 490641822, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (581753016).

490641822 is an abundant number, since it is smaller than the sum of its proper divisors (672864210).

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

490641822 is a wasteful number, since it uses less digits than its factorization.

490641822 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8153 (or 8150 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 490641822 is about 22150.4361582340. The cubic root of 490641822 is about 788.7175807344.

The spelling of 490641822 in words is "four hundred ninety million, six hundred forty-one thousand, eight hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 317 634 951 1902 2853 3487 5706 6974 7817 10461 15634 20922 23451 31383 46902 62766 70353 85987 140706 171974 257961 515922 773883 1547766 2477989 4955978 7433967 14867934 22301901 27257879 44603802 54515758 81773637 163547274 245320911 490641822