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490531626 = 234132192341
BaseRepresentation
bin11101001111001…
…110101100101010
31021012000120220000
4131033032230222
52001034003001
6120401443430
715104310234
oct3517165452
91235016800
10490531626
1123198a742
12118340576
137a81b500
144920d254
152d0e7a86
hex1d3ceb2a

490531626 has 240 divisors, whose sum is σ = 1339208640. Its totient is φ = 133436160.

The previous prime is 490531579. The next prime is 490531627. The reversal of 490531626 is 626135094.

It is a happy number.

490531626 is a `hidden beast` number, since 490 + 5 + 3 + 162 + 6 = 666.

It is a super-2 number, since 2×4905316262 = 481242552212407752, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (490531627) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 11964166 + ... + 11964206.

It is an arithmetic number, because the mean of its divisors is an integer number (5580036).

Almost surely, 2490531626 is an apocalyptic number.

490531626 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 490531626, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (669604320).

490531626 is an abundant number, since it is smaller than the sum of its proper divisors (848677014).

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

490531626 is a wasteful number, since it uses less digits than its factorization.

490531626 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 490531626 is about 22147.9485731749. The cubic root of 490531626 is about 788.6585288108.

The spelling of 490531626 in words is "four hundred ninety million, five hundred thirty-one thousand, six hundred twenty-six".