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490132820 = 22525219721
BaseRepresentation
bin11101001101101…
…101010101010100
31021011021022211102
4131031231111110
52000433222240
6120345125232
715101026442
oct3515552524
91234238742
10490132820
11231738051
12118189818
137a70bb28
1449147b92
152d069815
hex1d36d554

490132820 has 24 divisors (see below), whose sum is σ = 1029793128. Its totient is φ = 195955200.

The previous prime is 490132807. The next prime is 490132837. The reversal of 490132820 is 28231094.

It can be written as a sum of positive squares in 4 ways, for example, as 64288324 + 425844496 = 8018^2 + 20636^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 45560 + ... + 55280.

It is an arithmetic number, because the mean of its divisors is an integer number (42908047).

Almost surely, 2490132820 is an apocalyptic number.

It is an amenable number.

490132820 is an abundant number, since it is smaller than the sum of its proper divisors (539660308).

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

490132820 is a wasteful number, since it uses less digits than its factorization.

490132820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12251 (or 12249 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 29.

The square root of 490132820 is about 22138.9435158952. The cubic root of 490132820 is about 788.4447423723. Note that the first 3 decimals are identical.

The spelling of 490132820 in words is "four hundred ninety million, one hundred thirty-two thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 20 2521 5042 9721 10084 12605 19442 25210 38884 48605 50420 97210 194420 24506641 49013282 98026564 122533205 245066410 490132820